id	sid	tid	token	lemma	pos
ejpam-2508	1	1	compile	compile	NOUN
ejpam-2508	1	2	/	/	SYM
ejpam-2508	1	3	output.dvi	output.dvi	NOUN
ejpam-2508	1	4	european	european	ADJ
ejpam-2508	1	5	journal	journal	NOUN
ejpam-2508	1	6	of	of	ADP
ejpam-2508	1	7	pure	pure	ADJ
ejpam-2508	1	8	and	and	CCONJ
ejpam-2508	1	9	applied	apply	VERB
ejpam-2508	1	10	mathematics	mathematic	NOUN
ejpam-2508	1	11	vol	vol	NOUN
ejpam-2508	1	12	.	.	PROPN
ejpam-2508	1	13	8	8	NUM
ejpam-2508	1	14	,	,	PUNCT
ejpam-2508	1	15	no	no	INTJ
ejpam-2508	1	16	.	.	NOUN
ejpam-2508	1	17	3	3	NUM
ejpam-2508	1	18	,	,	PUNCT
ejpam-2508	1	19	2015	2015	NUM
ejpam-2508	1	20	,	,	PUNCT
ejpam-2508	1	21	375	375	NUM
ejpam-2508	1	22	-	-	SYM
ejpam-2508	1	23	388	388	NUM
ejpam-2508	1	24	issn	issn	PROPN
ejpam-2508	1	25	1307	1307	NUM
ejpam-2508	1	26	-	-	SYM
ejpam-2508	1	27	5543	5543	NUM
ejpam-2508	1	28	–	–	PUNCT
ejpam-2508	1	29	www.ejpam.com	www.ejpam.com	X
ejpam-2508	1	30	analyzing	analyze	VERB
ejpam-2508	1	31	group	group	NOUN
ejpam-2508	1	32	theoretical	theoretical	ADJ
ejpam-2508	1	33	properties	property	NOUN
ejpam-2508	1	34	of	of	ADP
ejpam-2508	1	35	groups	group	NOUN
ejpam-2508	1	36	with	with	ADP
ejpam-2508	1	37	order	order	NOUN
ejpam-2508	1	38	24	24	NUM
ejpam-2508	1	39	by	by	ADP
ejpam-2508	1	40	gap	gap	NOUN
ejpam-2508	1	41	ahmet	ahmet	PROPN
ejpam-2508	1	42	faruk	faruk	PROPN
ejpam-2508	1	43	aslan	aslan	PROPN
ejpam-2508	1	44	,	,	PUNCT
ejpam-2508	1	45	alper	alper	PROPN
ejpam-2508	1	46	odabaş∗	odabaş∗	PROPN
ejpam-2508	1	47	department	department	PROPN
ejpam-2508	1	48	of	of	ADP
ejpam-2508	1	49	mathematics	mathematics	PROPN
ejpam-2508	1	50	computer	computer	NOUN
ejpam-2508	1	51	,	,	PUNCT
ejpam-2508	1	52	science	science	NOUN
ejpam-2508	1	53	and	and	CCONJ
ejpam-2508	1	54	art	art	NOUN
ejpam-2508	1	55	faculty	faculty	NOUN
ejpam-2508	1	56	,	,	PUNCT
ejpam-2508	1	57	eski̧sehir	eski̧sehir	ADP
ejpam-2508	1	58	osmangazi	osmangazi	ADJ
ejpam-2508	1	59	university	university	NOUN
ejpam-2508	1	60	,	,	PUNCT
ejpam-2508	1	61	eski̧sehir	eski̧sehir	PROPN
ejpam-2508	1	62	,	,	PUNCT
ejpam-2508	1	63	turkey	turkey	NOUN
ejpam-2508	1	64	abstract	abstract	NOUN
ejpam-2508	1	65	.	.	PUNCT
ejpam-2508	2	1	we	we	PRON
ejpam-2508	2	2	will	will	AUX
ejpam-2508	2	3	present	present	VERB
ejpam-2508	2	4	our	our	PRON
ejpam-2508	2	5	implementation	implementation	NOUN
ejpam-2508	2	6	fgroup.gi	fgroup.gi	NOUN
ejpam-2508	2	7	and	and	CCONJ
ejpam-2508	2	8	present	present	ADJ
ejpam-2508	2	9	subgroup	subgroup	NOUN
ejpam-2508	2	10	lattice	lattice	NOUN
ejpam-2508	2	11	of	of	ADP
ejpam-2508	2	12	some	some	DET
ejpam-2508	2	13	groups	group	NOUN
ejpam-2508	2	14	of	of	ADP
ejpam-2508	2	15	order	order	NOUN
ejpam-2508	2	16	24	24	NUM
ejpam-2508	2	17	.	.	PUNCT
ejpam-2508	3	1	we	we	PRON
ejpam-2508	3	2	also	also	ADV
ejpam-2508	3	3	will	will	AUX
ejpam-2508	3	4	construct	construct	VERB
ejpam-2508	3	5	tables	table	NOUN
ejpam-2508	3	6	containing	contain	VERB
ejpam-2508	3	7	those	those	DET
ejpam-2508	3	8	groups	group	NOUN
ejpam-2508	3	9	basic	basic	ADJ
ejpam-2508	3	10	properties	property	NOUN
ejpam-2508	3	11	and	and	CCONJ
ejpam-2508	3	12	generators	generator	NOUN
ejpam-2508	3	13	elements	element	NOUN
ejpam-2508	3	14	of	of	ADP
ejpam-2508	3	15	frattini	frattini	ADJ
ejpam-2508	3	16	and	and	CCONJ
ejpam-2508	3	17	fitting	fitting	ADJ
ejpam-2508	3	18	subgroups	subgroup	NOUN
ejpam-2508	3	19	.	.	PUNCT
ejpam-2508	4	1	2010	2010	NUM
ejpam-2508	4	2	mathematics	mathematic	NOUN
ejpam-2508	4	3	subject	subject	NOUN
ejpam-2508	4	4	classifications	classification	NOUN
ejpam-2508	4	5	:	:	PUNCT
ejpam-2508	4	6	20d05	20d05	NUM
ejpam-2508	4	7	,	,	PUNCT
ejpam-2508	4	8	20d25	20d25	NUM
ejpam-2508	4	9	,	,	PUNCT
ejpam-2508	4	10	20d30	20d30	NUM
ejpam-2508	4	11	key	key	ADJ
ejpam-2508	4	12	words	word	NOUN
ejpam-2508	4	13	and	and	CCONJ
ejpam-2508	4	14	phrases	phrase	NOUN
ejpam-2508	4	15	:	:	PUNCT
ejpam-2508	4	16	subgroup	subgroup	PROPN
ejpam-2508	4	17	lattice	lattice	PROPN
ejpam-2508	4	18	,	,	PUNCT
ejpam-2508	4	19	frattini	frattini	PROPN
ejpam-2508	4	20	subgroup	subgroup	PROPN
ejpam-2508	4	21	,	,	PUNCT
ejpam-2508	4	22	fitting	fitting	ADJ
ejpam-2508	4	23	subgroup	subgroup	NOUN
ejpam-2508	4	24	.	.	PUNCT
ejpam-2508	5	1	1	1	X
ejpam-2508	5	2	.	.	X
ejpam-2508	5	3	introduction	introduction	NOUN
ejpam-2508	5	4	the	the	DET
ejpam-2508	5	5	link	link	NOUN
ejpam-2508	5	6	between	between	ADP
ejpam-2508	5	7	group	group	NOUN
ejpam-2508	5	8	theory	theory	NOUN
ejpam-2508	5	9	and	and	CCONJ
ejpam-2508	5	10	gap	gap	NOUN
ejpam-2508	5	11	is	be	AUX
ejpam-2508	5	12	constructed	construct	VERB
ejpam-2508	5	13	by	by	ADP
ejpam-2508	5	14	cayley	cayley	PROPN
ejpam-2508	5	15	’s	’s	PART
ejpam-2508	5	16	theorem	theorem	NOUN
ejpam-2508	5	17	which	which	PRON
ejpam-2508	5	18	states	state	VERB
ejpam-2508	5	19	that	that	SCONJ
ejpam-2508	5	20	every	every	DET
ejpam-2508	5	21	group	group	NOUN
ejpam-2508	5	22	is	be	AUX
ejpam-2508	5	23	isomorphic	isomorphic	ADJ
ejpam-2508	5	24	to	to	ADP
ejpam-2508	5	25	a	a	DET
ejpam-2508	5	26	subgroup	subgroup	NOUN
ejpam-2508	5	27	of	of	ADP
ejpam-2508	5	28	a	a	DET
ejpam-2508	5	29	permutation	permutation	NOUN
ejpam-2508	5	30	group	group	NOUN
ejpam-2508	5	31	.	.	PUNCT
ejpam-2508	6	1	if	if	SCONJ
ejpam-2508	6	2	g	g	PROPN
ejpam-2508	6	3	is	be	AUX
ejpam-2508	6	4	a	a	DET
ejpam-2508	6	5	group	group	NOUN
ejpam-2508	6	6	with	with	ADP
ejpam-2508	6	7	order	order	NOUN
ejpam-2508	6	8	n	n	CCONJ
ejpam-2508	6	9	,	,	PUNCT
ejpam-2508	6	10	then	then	ADV
ejpam-2508	6	11	we	we	PRON
ejpam-2508	6	12	can	can	AUX
ejpam-2508	6	13	define	define	VERB
ejpam-2508	6	14	an	an	DET
ejpam-2508	6	15	isomorphism	isomorphism	NOUN
ejpam-2508	6	16	from	from	ADP
ejpam-2508	6	17	g	g	NOUN
ejpam-2508	6	18	into	into	ADP
ejpam-2508	6	19	the	the	DET
ejpam-2508	6	20	symmetric	symmetric	ADJ
ejpam-2508	6	21	group	group	NOUN
ejpam-2508	6	22	sn	sn	PROPN
ejpam-2508	6	23	by	by	ADP
ejpam-2508	6	24	cayley	cayley	PROPN
ejpam-2508	6	25	’s	’s	PART
ejpam-2508	6	26	theorem	theorem	NOUN
ejpam-2508	6	27	.	.	PUNCT
ejpam-2508	7	1	gap	gap	NOUN
ejpam-2508	7	2	generates	generate	VERB
ejpam-2508	7	3	all	all	DET
ejpam-2508	7	4	finite	finite	ADJ
ejpam-2508	7	5	order	order	NOUN
ejpam-2508	7	6	groups	group	NOUN
ejpam-2508	7	7	using	use	VERB
ejpam-2508	7	8	the	the	DET
ejpam-2508	7	9	symmetric	symmetric	ADJ
ejpam-2508	7	10	group	group	NOUN
ejpam-2508	7	11	operations	operation	NOUN
ejpam-2508	7	12	,	,	PUNCT
ejpam-2508	7	13	and	and	CCONJ
ejpam-2508	7	14	gives	give	VERB
ejpam-2508	7	15	concrete	concrete	ADJ
ejpam-2508	7	16	examples	example	NOUN
ejpam-2508	7	17	to	to	ADP
ejpam-2508	7	18	the	the	DET
ejpam-2508	7	19	abstract	abstract	ADJ
ejpam-2508	7	20	notions	notion	NOUN
ejpam-2508	7	21	of	of	ADP
ejpam-2508	7	22	algebra	algebra	NOUN
ejpam-2508	7	23	,	,	PUNCT
ejpam-2508	7	24	in	in	ADP
ejpam-2508	7	25	other	other	ADJ
ejpam-2508	7	26	words	word	NOUN
ejpam-2508	7	27	,	,	PUNCT
ejpam-2508	7	28	it	it	PRON
ejpam-2508	7	29	visualizes	visualize	VERB
ejpam-2508	7	30	these	these	DET
ejpam-2508	7	31	abstract	abstract	ADJ
ejpam-2508	7	32	notions	notion	NOUN
ejpam-2508	7	33	.	.	PUNCT
ejpam-2508	8	1	some	some	DET
ejpam-2508	8	2	applications	application	NOUN
ejpam-2508	8	3	of	of	ADP
ejpam-2508	8	4	gap	gap	NOUN
ejpam-2508	8	5	to	to	ADP
ejpam-2508	8	6	abstract	abstract	ADJ
ejpam-2508	8	7	algebra	algebra	NOUN
ejpam-2508	8	8	can	can	AUX
ejpam-2508	8	9	be	be	AUX
ejpam-2508	8	10	found	find	VERB
ejpam-2508	8	11	in	in	ADP
ejpam-2508	8	12	[	[	X
ejpam-2508	8	13	1	1	NUM
ejpam-2508	8	14	,	,	PUNCT
ejpam-2508	8	15	3	3	NUM
ejpam-2508	8	16	]	]	PUNCT
ejpam-2508	8	17	.	.	PUNCT
ejpam-2508	9	1	since	since	SCONJ
ejpam-2508	9	2	most	most	ADJ
ejpam-2508	9	3	of	of	ADP
ejpam-2508	9	4	the	the	DET
ejpam-2508	9	5	cohomological	cohomological	ADJ
ejpam-2508	9	6	invariants	invariant	NOUN
ejpam-2508	9	7	are	be	AUX
ejpam-2508	9	8	(	(	PUNCT
ejpam-2508	9	9	directly	directly	ADV
ejpam-2508	9	10	)	)	PUNCT
ejpam-2508	9	11	related	relate	VERB
ejpam-2508	9	12	to	to	ADP
ejpam-2508	9	13	nilpotency	nilpotency	NOUN
ejpam-2508	9	14	.	.	PUNCT
ejpam-2508	10	1	it	it	PRON
ejpam-2508	10	2	is	be	AUX
ejpam-2508	10	3	well	well	ADV
ejpam-2508	10	4	known	know	VERB
ejpam-2508	10	5	that	that	SCONJ
ejpam-2508	10	6	the	the	DET
ejpam-2508	10	7	frattini	frattini	ADJ
ejpam-2508	10	8	and	and	CCONJ
ejpam-2508	10	9	fitting	fitting	ADJ
ejpam-2508	10	10	subgroups	subgroup	NOUN
ejpam-2508	10	11	are	be	AUX
ejpam-2508	10	12	related	relate	VERB
ejpam-2508	10	13	to	to	ADP
ejpam-2508	10	14	nilpotency	nilpotency	NOUN
ejpam-2508	10	15	.	.	PUNCT
ejpam-2508	11	1	in	in	ADP
ejpam-2508	11	2	the	the	DET
ejpam-2508	11	3	sense	sense	NOUN
ejpam-2508	11	4	of	of	ADP
ejpam-2508	11	5	this	this	DET
ejpam-2508	11	6	relation	relation	NOUN
ejpam-2508	11	7	we	we	PRON
ejpam-2508	11	8	compute	compute	VERB
ejpam-2508	11	9	the	the	DET
ejpam-2508	11	10	generator	generator	NOUN
ejpam-2508	11	11	elements	element	NOUN
ejpam-2508	11	12	of	of	ADP
ejpam-2508	11	13	these	these	DET
ejpam-2508	11	14	special	special	ADJ
ejpam-2508	11	15	subgroups	subgroup	NOUN
ejpam-2508	11	16	.	.	PUNCT
ejpam-2508	12	1	it	it	PRON
ejpam-2508	12	2	is	be	AUX
ejpam-2508	12	3	one	one	NUM
ejpam-2508	12	4	of	of	ADP
ejpam-2508	12	5	the	the	DET
ejpam-2508	12	6	fundamental	fundamental	ADJ
ejpam-2508	12	7	property	property	NOUN
ejpam-2508	12	8	of	of	ADP
ejpam-2508	12	9	algebraic	algebraic	ADJ
ejpam-2508	12	10	structures	structure	NOUN
ejpam-2508	12	11	such	such	ADJ
ejpam-2508	12	12	as	as	ADP
ejpam-2508	12	13	groups	group	NOUN
ejpam-2508	12	14	,	,	PUNCT
ejpam-2508	12	15	algebras	algebra	NOUN
ejpam-2508	12	16	,	,	PUNCT
ejpam-2508	12	17	algebraic	algebraic	ADJ
ejpam-2508	12	18	models	model	NOUN
ejpam-2508	12	19	etc	etc	X
ejpam-2508	12	20	.	.	PUNCT
ejpam-2508	13	1	the	the	DET
ejpam-2508	13	2	goals	goal	NOUN
ejpam-2508	13	3	of	of	ADP
ejpam-2508	13	4	this	this	DET
ejpam-2508	13	5	paper	paper	NOUN
ejpam-2508	13	6	are	be	AUX
ejpam-2508	13	7	:	:	PUNCT
ejpam-2508	13	8	*	*	PUNCT
ejpam-2508	13	9	presenting	present	VERB
ejpam-2508	13	10	our	our	PRON
ejpam-2508	13	11	implementation	implementation	NOUN
ejpam-2508	13	12	fgroup.gi	fgroup.gi	X
ejpam-2508	13	13	*	*	PUNCT
ejpam-2508	13	14	constructing	construct	VERB
ejpam-2508	13	15	tables	table	NOUN
ejpam-2508	13	16	consisting	consist	VERB
ejpam-2508	13	17	of	of	ADP
ejpam-2508	13	18	some	some	DET
ejpam-2508	13	19	basic	basic	ADJ
ejpam-2508	13	20	properties	property	NOUN
ejpam-2508	13	21	and	and	CCONJ
ejpam-2508	13	22	generator	generator	NOUN
ejpam-2508	13	23	elements	element	NOUN
ejpam-2508	13	24	of	of	ADP
ejpam-2508	13	25	fitting	fitting	ADJ
ejpam-2508	13	26	,	,	PUNCT
ejpam-2508	13	27	frattini	frattini	ADJ
ejpam-2508	13	28	subgroups	subgroup	NOUN
ejpam-2508	13	29	of	of	ADP
ejpam-2508	13	30	a	a	DET
ejpam-2508	13	31	group	group	NOUN
ejpam-2508	13	32	of	of	ADP
ejpam-2508	13	33	order	order	NOUN
ejpam-2508	13	34	24	24	NUM
ejpam-2508	13	35	.	.	PUNCT
ejpam-2508	14	1	*	*	PUNCT
ejpam-2508	14	2	constructing	construct	VERB
ejpam-2508	14	3	the	the	DET
ejpam-2508	14	4	subgroup	subgroup	NOUN
ejpam-2508	14	5	lattices	lattice	NOUN
ejpam-2508	14	6	of	of	ADP
ejpam-2508	14	7	these	these	DET
ejpam-2508	14	8	groups	group	NOUN
ejpam-2508	14	9	.	.	PUNCT
ejpam-2508	15	1	∗corresponding	∗corresponde	VERB
ejpam-2508	15	2	author	author	NOUN
ejpam-2508	15	3	.	.	PUNCT
ejpam-2508	16	1	email	email	NOUN
ejpam-2508	16	2	addresses	address	NOUN
ejpam-2508	16	3	:	:	PUNCT
ejpam-2508	16	4	afaslan@ogu.edu.tr	afaslan@ogu.edu.tr	PROPN
ejpam-2508	16	5	(	(	PUNCT
ejpam-2508	16	6	a.	a.	NOUN
ejpam-2508	16	7	aslan	aslan	PROPN
ejpam-2508	16	8	)	)	PUNCT
ejpam-2508	16	9	,	,	PUNCT
ejpam-2508	16	10	aodabas@ogu.edu.tr	aodabas@ogu.edu.tr	ADV
ejpam-2508	16	11	(	(	PUNCT
ejpam-2508	16	12	a.	a.	NOUN
ejpam-2508	16	13	odabaş	odabaş	PROPN
ejpam-2508	16	14	)	)	PUNCT
ejpam-2508	16	15	http://www.ejpam.com	http://www.ejpam.com	X
ejpam-2508	17	1	375	375	NUM
ejpam-2508	17	2	c	c	X
ejpam-2508	17	3	©	©	PROPN
ejpam-2508	17	4	2015	2015	NUM
ejpam-2508	17	5	ejpam	ejpam	NOUN
ejpam-2508	17	6	all	all	DET
ejpam-2508	17	7	rights	right	NOUN
ejpam-2508	17	8	reserved	reserve	VERB
ejpam-2508	17	9	.	.	PUNCT
ejpam-2508	18	1	a.	a.	PROPN
ejpam-2508	18	2	aslan	aslan	PROPN
ejpam-2508	18	3	,	,	PUNCT
ejpam-2508	18	4	a.	a.	PROPN
ejpam-2508	18	5	odabaş	odabaş	PROPN
ejpam-2508	18	6	/	/	SYM
ejpam-2508	18	7	eur	eur	PROPN
ejpam-2508	18	8	.	.	PUNCT
ejpam-2508	19	1	j.	j.	PROPN
ejpam-2508	19	2	pure	pure	PROPN
ejpam-2508	19	3	appl	appl	PROPN
ejpam-2508	19	4	.	.	PROPN
ejpam-2508	19	5	math	math	PROPN
ejpam-2508	19	6	,	,	PUNCT
ejpam-2508	19	7	8	8	NUM
ejpam-2508	19	8	(	(	PUNCT
ejpam-2508	19	9	2015	2015	NUM
ejpam-2508	19	10	)	)	PUNCT
ejpam-2508	19	11	,	,	PUNCT
ejpam-2508	19	12	375	375	NUM
ejpam-2508	19	13	-	-	SYM
ejpam-2508	19	14	388	388	NUM
ejpam-2508	19	15	376	376	NUM
ejpam-2508	19	16	2	2	NUM
ejpam-2508	19	17	.	.	PUNCT
ejpam-2508	19	18	preliminaries	preliminary	NOUN
ejpam-2508	19	19	in	in	ADP
ejpam-2508	19	20	gap	gap	NOUN
ejpam-2508	19	21	programming	programming	NOUN
ejpam-2508	19	22	,	,	PUNCT
ejpam-2508	19	23	the	the	DET
ejpam-2508	19	24	following	follow	VERB
ejpam-2508	19	25	functions	function	NOUN
ejpam-2508	19	26	are	be	AUX
ejpam-2508	19	27	frequently	frequently	ADV
ejpam-2508	19	28	used	use	VERB
ejpam-2508	19	29	for	for	ADP
ejpam-2508	19	30	constructing	construct	VERB
ejpam-2508	19	31	groups	group	NOUN
ejpam-2508	19	32	and	and	CCONJ
ejpam-2508	19	33	obtain	obtain	VERB
ejpam-2508	19	34	some	some	PRON
ejpam-2508	19	35	of	of	ADP
ejpam-2508	19	36	their	their	PRON
ejpam-2508	19	37	properties	property	NOUN
ejpam-2508	19	38	.	.	PUNCT
ejpam-2508	20	1	group	group	PROPN
ejpam-2508	20	2	generatorsofgroup	generatorsofgroup	PROPN
ejpam-2508	20	3	conjugategroup	conjugategroup	PROPN
ejpam-2508	20	4	isgroup	isgroup	PROPN
ejpam-2508	20	5	iscyclic	iscyclic	ADJ
ejpam-2508	20	6	isabelian	isabelian	PROPN
ejpam-2508	20	7	elements	element	NOUN
ejpam-2508	20	8	example	example	VERB
ejpam-2508	20	9	1	1	NUM
ejpam-2508	20	10	.	.	PUNCT
ejpam-2508	21	1	the	the	DET
ejpam-2508	21	2	cyclic	cyclic	ADJ
ejpam-2508	21	3	group	group	NOUN
ejpam-2508	21	4	c4	c4	NOUN
ejpam-2508	21	5	and	and	CCONJ
ejpam-2508	21	6	its	its	PRON
ejpam-2508	21	7	properties	property	NOUN
ejpam-2508	21	8	can	can	AUX
ejpam-2508	21	9	be	be	AUX
ejpam-2508	21	10	obtained	obtain	VERB
ejpam-2508	21	11	by	by	ADP
ejpam-2508	21	12	the	the	DET
ejpam-2508	21	13	following	follow	VERB
ejpam-2508	21	14	gap	gap	NOUN
ejpam-2508	21	15	commands	command	NOUN
ejpam-2508	21	16	,	,	PUNCT
ejpam-2508	21	17	gap	gap	NOUN
ejpam-2508	21	18	>	>	X
ejpam-2508	21	19	g:=group((1,2,3,4	g:=group((1,2,3,4	NOUN
ejpam-2508	21	20	)	)	PUNCT
ejpam-2508	21	21	)	)	PUNCT
ejpam-2508	21	22	;	;	PUNCT
ejpam-2508	21	23	group	group	NOUN
ejpam-2508	21	24	(	(	PUNCT
ejpam-2508	21	25	[	[	PUNCT
ejpam-2508	21	26	(	(	PUNCT
ejpam-2508	21	27	1,2,3,4	1,2,3,4	NUM
ejpam-2508	21	28	)	)	PUNCT
ejpam-2508	21	29	]	]	PUNCT
ejpam-2508	21	30	)	)	PUNCT
ejpam-2508	21	31	gap	gap	NOUN
ejpam-2508	21	32	>	>	X
ejpam-2508	21	33	size(g	size(g	PROPN
ejpam-2508	21	34	)	)	PUNCT
ejpam-2508	21	35	;	;	PUNCT
ejpam-2508	21	36	4	4	NUM
ejpam-2508	21	37	gap	gap	NOUN
ejpam-2508	21	38	>	>	X
ejpam-2508	21	39	iscyclic(g	iscyclic(g	PROPN
ejpam-2508	21	40	)	)	PUNCT
ejpam-2508	21	41	;	;	PUNCT
ejpam-2508	21	42	true	true	ADJ
ejpam-2508	21	43	gap	gap	NOUN
ejpam-2508	21	44	>	>	X
ejpam-2508	21	45	isabelian(g	isabelian(g	NOUN
ejpam-2508	21	46	)	)	PUNCT
ejpam-2508	21	47	;	;	PUNCT
ejpam-2508	21	48	true	true	ADJ
ejpam-2508	21	49	the	the	DET
ejpam-2508	21	50	function	function	NOUN
ejpam-2508	21	51	subgroup	subgroup	NOUN
ejpam-2508	21	52	(	(	PUNCT
ejpam-2508	21	53	)	)	PUNCT
ejpam-2508	21	54	is	be	AUX
ejpam-2508	21	55	used	use	VERB
ejpam-2508	21	56	for	for	ADP
ejpam-2508	21	57	obtain	obtain	VERB
ejpam-2508	21	58	subgroups	subgroup	NOUN
ejpam-2508	21	59	.	.	PUNCT
ejpam-2508	22	1	below	below	ADP
ejpam-2508	22	2	we	we	PRON
ejpam-2508	22	3	give	give	VERB
ejpam-2508	22	4	the	the	DET
ejpam-2508	22	5	useful	useful	ADJ
ejpam-2508	22	6	gap	gap	NOUN
ejpam-2508	22	7	commands	command	NOUN
ejpam-2508	22	8	related	relate	VERB
ejpam-2508	22	9	with	with	ADP
ejpam-2508	22	10	subgroups	subgroup	NOUN
ejpam-2508	22	11	and	and	CCONJ
ejpam-2508	22	12	cosets	coset	NOUN
ejpam-2508	22	13	.	.	PUNCT
ejpam-2508	23	1	subgroup	subgroup	PROPN
ejpam-2508	23	2	index	index	PROPN
ejpam-2508	23	3	issubgroup	issubgroup	PROPN
ejpam-2508	23	4	isnormal	isnormal	PROPN
ejpam-2508	23	5	conjugatesubgroup	conjugatesubgroup	PROPN
ejpam-2508	23	6	rightcoset	rightcoset	PROPN
ejpam-2508	23	7	isrightcoset	isrightcoset	NOUN
ejpam-2508	23	8	conjugacyclasses	conjugacyclasse	NOUN
ejpam-2508	23	9	example	example	VERB
ejpam-2508	23	10	2	2	NUM
ejpam-2508	23	11	.	.	PUNCT
ejpam-2508	24	1	the	the	DET
ejpam-2508	24	2	following	follow	VERB
ejpam-2508	24	3	coding	code	VERB
ejpam-2508	24	4	can	can	AUX
ejpam-2508	24	5	be	be	AUX
ejpam-2508	24	6	used	use	VERB
ejpam-2508	24	7	for	for	ADP
ejpam-2508	24	8	constructing	construct	VERB
ejpam-2508	24	9	subgroups	subgroup	NOUN
ejpam-2508	24	10	.	.	PUNCT
ejpam-2508	25	1	gap	gap	NOUN
ejpam-2508	25	2	>	>	X
ejpam-2508	25	3	g:=group((1,2,3,4),(1,2,3	g:=group((1,2,3,4),(1,2,3	NOUN
ejpam-2508	25	4	)	)	PUNCT
ejpam-2508	25	5	)	)	PUNCT
ejpam-2508	25	6	;	;	PUNCT
ejpam-2508	26	1	group	group	NOUN
ejpam-2508	26	2	(	(	PUNCT
ejpam-2508	26	3	[	[	PUNCT
ejpam-2508	26	4	(	(	PUNCT
ejpam-2508	26	5	1,2,3,4	1,2,3,4	NUM
ejpam-2508	26	6	)	)	PUNCT
ejpam-2508	26	7	,	,	PUNCT
ejpam-2508	26	8	(	(	PUNCT
ejpam-2508	26	9	1,2,3	1,2,3	NOUN
ejpam-2508	26	10	)	)	PUNCT
ejpam-2508	26	11	]	]	PUNCT
ejpam-2508	26	12	)	)	PUNCT
ejpam-2508	26	13	gap	gap	NOUN
ejpam-2508	26	14	>	>	X
ejpam-2508	26	15	subgroup(g,[(1,2,3,4	subgroup(g,[(1,2,3,4	PROPN
ejpam-2508	26	16	)	)	PUNCT
ejpam-2508	26	17	]	]	PUNCT
ejpam-2508	26	18	)	)	PUNCT
ejpam-2508	26	19	;	;	PUNCT
ejpam-2508	26	20	group	group	NOUN
ejpam-2508	26	21	(	(	PUNCT
ejpam-2508	26	22	[	[	PUNCT
ejpam-2508	26	23	(	(	PUNCT
ejpam-2508	26	24	1,2,3,4	1,2,3,4	NUM
ejpam-2508	26	25	)	)	PUNCT
ejpam-2508	26	26	]	]	PUNCT
ejpam-2508	26	27	)	)	PUNCT
ejpam-2508	26	28	gap	gap	NOUN
ejpam-2508	26	29	>	>	X
ejpam-2508	26	30	h:=subgroup(g,[(1,2,3,4	h:=subgroup(g,[(1,2,3,4	NUM
ejpam-2508	26	31	)	)	PUNCT
ejpam-2508	26	32	]	]	PUNCT
ejpam-2508	26	33	)	)	PUNCT
ejpam-2508	26	34	;	;	PUNCT
ejpam-2508	26	35	group	group	NOUN
ejpam-2508	26	36	(	(	PUNCT
ejpam-2508	26	37	[	[	PUNCT
ejpam-2508	26	38	(	(	PUNCT
ejpam-2508	26	39	1,2,3,4	1,2,3,4	NUM
ejpam-2508	26	40	)	)	PUNCT
ejpam-2508	26	41	]	]	PUNCT
ejpam-2508	26	42	)	)	PUNCT
ejpam-2508	26	43	a.	a.	PROPN
ejpam-2508	26	44	aslan	aslan	PROPN
ejpam-2508	26	45	,	,	PUNCT
ejpam-2508	26	46	a.	a.	PROPN
ejpam-2508	26	47	odabaş	odabaş	PROPN
ejpam-2508	26	48	/	/	SYM
ejpam-2508	26	49	eur	eur	PROPN
ejpam-2508	26	50	.	.	PUNCT
ejpam-2508	27	1	j.	j.	PROPN
ejpam-2508	27	2	pure	pure	PROPN
ejpam-2508	27	3	appl	appl	PROPN
ejpam-2508	27	4	.	.	PROPN
ejpam-2508	27	5	math	math	PROPN
ejpam-2508	27	6	,	,	PUNCT
ejpam-2508	27	7	8	8	NUM
ejpam-2508	27	8	(	(	PUNCT
ejpam-2508	27	9	2015	2015	NUM
ejpam-2508	27	10	)	)	PUNCT
ejpam-2508	27	11	,	,	PUNCT
ejpam-2508	27	12	375	375	NUM
ejpam-2508	27	13	-	-	SYM
ejpam-2508	27	14	388	388	NUM
ejpam-2508	27	15	377	377	NUM
ejpam-2508	27	16	also	also	ADV
ejpam-2508	27	17	the	the	DET
ejpam-2508	27	18	conjugacy	conjugacy	PROPN
ejpam-2508	27	19	classes	class	NOUN
ejpam-2508	27	20	obtained	obtain	VERB
ejpam-2508	27	21	by	by	ADP
ejpam-2508	27	22	the	the	DET
ejpam-2508	27	23	function	function	NOUN
ejpam-2508	27	24	conjugacyclasses	conjugacyclasse	NOUN
ejpam-2508	27	25	(	(	PUNCT
ejpam-2508	27	26	)	)	PUNCT
ejpam-2508	27	27	and	and	CCONJ
ejpam-2508	27	28	the	the	DET
ejpam-2508	27	29	function	function	NOUN
ejpam-2508	27	30	nrconjugacyclasses	nrconjugacyclasse	NOUN
ejpam-2508	27	31	(	(	PUNCT
ejpam-2508	27	32	)	)	PUNCT
ejpam-2508	27	33	is	be	AUX
ejpam-2508	27	34	used	use	VERB
ejpam-2508	27	35	for	for	ADP
ejpam-2508	27	36	finding	find	VERB
ejpam-2508	27	37	the	the	DET
ejpam-2508	27	38	number	number	NOUN
ejpam-2508	27	39	of	of	ADP
ejpam-2508	27	40	conjugacy	conjugacy	ADJ
ejpam-2508	27	41	classes	class	NOUN
ejpam-2508	27	42	of	of	ADP
ejpam-2508	27	43	the	the	DET
ejpam-2508	27	44	group	group	NOUN
ejpam-2508	27	45	.	.	PUNCT
ejpam-2508	28	1	gap	gap	NOUN
ejpam-2508	28	2	>	>	X
ejpam-2508	28	3	g:=group((1,2,3,4,5	g:=group((1,2,3,4,5	NOUN
ejpam-2508	28	4	)	)	PUNCT
ejpam-2508	28	5	)	)	PUNCT
ejpam-2508	29	1	;	;	PUNCT
ejpam-2508	29	2	group	group	NOUN
ejpam-2508	29	3	(	(	PUNCT
ejpam-2508	29	4	[	[	PUNCT
ejpam-2508	29	5	(	(	PUNCT
ejpam-2508	29	6	1,2,3,4,5	1,2,3,4,5	NUM
ejpam-2508	29	7	)	)	PUNCT
ejpam-2508	29	8	]	]	PUNCT
ejpam-2508	29	9	)	)	PUNCT
ejpam-2508	29	10	gap	gap	NOUN
ejpam-2508	29	11	>	>	X
ejpam-2508	29	12	conjugacyclasses(g	conjugacyclasses(g	PROPN
ejpam-2508	29	13	)	)	PUNCT
ejpam-2508	29	14	;	;	PUNCT
ejpam-2508	29	15	[	[	X
ejpam-2508	29	16	(	(	PUNCT
ejpam-2508	29	17	)	)	PUNCT
ejpam-2508	29	18	^g,(1,2,3,4,5)^g,(1,3,5,2,4)^g,(1,4,2,5,3)^g	^g,(1,2,3,4,5)^g,(1,3,5,2,4)^g,(1,4,2,5,3)^g	NOUN
ejpam-2508	29	19	,	,	PUNCT
ejpam-2508	29	20	(	(	PUNCT
ejpam-2508	29	21	1,5,4,3,2)^g	1,5,4,3,2)^g	NUM
ejpam-2508	29	22	]	]	SYM
ejpam-2508	29	23	gap	gap	NOUN
ejpam-2508	29	24	>	>	X
ejpam-2508	29	25	nrconjugacyclasses(g	nrconjugacyclasses(g	PROPN
ejpam-2508	29	26	)	)	PUNCT
ejpam-2508	29	27	;	;	PUNCT
ejpam-2508	29	28	5	5	NUM
ejpam-2508	29	29	the	the	DET
ejpam-2508	29	30	functions	function	NOUN
ejpam-2508	29	31	factorgroup	factorgroup	NOUN
ejpam-2508	29	32	(	(	PUNCT
ejpam-2508	29	33	)	)	PUNCT
ejpam-2508	29	34	and	and	CCONJ
ejpam-2508	29	35	factorgroupnc	factorgroupnc	PROPN
ejpam-2508	29	36	(	(	PUNCT
ejpam-2508	29	37	)	)	PUNCT
ejpam-2508	29	38	are	be	AUX
ejpam-2508	29	39	used	use	VERB
ejpam-2508	29	40	for	for	ADP
ejpam-2508	29	41	constructing	construct	VERB
ejpam-2508	29	42	quotient	quotient	NOUN
ejpam-2508	29	43	groups	group	NOUN
ejpam-2508	29	44	and	and	CCONJ
ejpam-2508	29	45	their	their	PRON
ejpam-2508	29	46	enumerations	enumeration	NOUN
ejpam-2508	29	47	.	.	PUNCT
ejpam-2508	30	1	here	here	ADV
ejpam-2508	30	2	we	we	PRON
ejpam-2508	30	3	will	will	AUX
ejpam-2508	30	4	construct	construct	VERB
ejpam-2508	30	5	all	all	DET
ejpam-2508	30	6	quotient	quotient	NOUN
ejpam-2508	30	7	groups	group	NOUN
ejpam-2508	30	8	of	of	ADP
ejpam-2508	30	9	a	a	DET
ejpam-2508	30	10	group	group	NOUN
ejpam-2508	30	11	by	by	ADP
ejpam-2508	30	12	using	use	VERB
ejpam-2508	30	13	second	second	ADJ
ejpam-2508	30	14	author	author	NOUN
ejpam-2508	30	15	’s	’s	PART
ejpam-2508	30	16	implementation	implementation	NOUN
ejpam-2508	30	17	in	in	ADP
ejpam-2508	30	18	[	[	X
ejpam-2508	30	19	3	3	X
ejpam-2508	30	20	]	]	PUNCT
ejpam-2508	30	21	which	which	PRON
ejpam-2508	30	22	we	we	PRON
ejpam-2508	30	23	called	call	VERB
ejpam-2508	30	24	as	as	ADP
ejpam-2508	30	25	fgroup.gi	fgroup.gi	NOUN
ejpam-2508	30	26	.	.	PUNCT
ejpam-2508	31	1	gap	gap	NOUN
ejpam-2508	31	2	>	>	SYM
ejpam-2508	31	3	read("fgroup.gi	read("fgroup.gi	PROPN
ejpam-2508	31	4	"	"	PUNCT
ejpam-2508	31	5	)	)	PUNCT
ejpam-2508	31	6	;	;	PUNCT
ejpam-2508	31	7	gap	gap	NOUN
ejpam-2508	31	8	>	>	X
ejpam-2508	31	9	g:=group((1,2,3),(1,3	g:=group((1,2,3),(1,3	PROPN
ejpam-2508	31	10	)	)	PUNCT
ejpam-2508	31	11	)	)	PUNCT
ejpam-2508	31	12	;	;	PUNCT
ejpam-2508	32	1	group	group	NOUN
ejpam-2508	32	2	(	(	PUNCT
ejpam-2508	32	3	[	[	PUNCT
ejpam-2508	32	4	(	(	PUNCT
ejpam-2508	32	5	1,2,3	1,2,3	NOUN
ejpam-2508	32	6	)	)	PUNCT
ejpam-2508	32	7	,	,	PUNCT
ejpam-2508	32	8	(	(	PUNCT
ejpam-2508	32	9	1,3	1,3	NUM
ejpam-2508	32	10	)	)	PUNCT
ejpam-2508	32	11	]	]	PUNCT
ejpam-2508	32	12	)	)	PUNCT
ejpam-2508	32	13	gap	gap	NOUN
ejpam-2508	32	14	>	>	X
ejpam-2508	32	15	isabelian(g	isabelian(g	NOUN
ejpam-2508	32	16	)	)	PUNCT
ejpam-2508	32	17	;	;	PUNCT
ejpam-2508	32	18	false	false	ADJ
ejpam-2508	32	19	gap	gap	NOUN
ejpam-2508	32	20	>	>	X
ejpam-2508	32	21	iscyclic(g	iscyclic(g	PROPN
ejpam-2508	32	22	)	)	PUNCT
ejpam-2508	32	23	;	;	PUNCT
ejpam-2508	32	24	false	false	ADJ
ejpam-2508	32	25	gap	gap	NOUN
ejpam-2508	32	26	>	>	X
ejpam-2508	32	27	fgroup(g	fgroup(g	NOUN
ejpam-2508	32	28	)	)	PUNCT
ejpam-2508	32	29	;	;	PUNCT
ejpam-2508	32	30	group	group	NOUN
ejpam-2508	32	31	(	(	PUNCT
ejpam-2508	32	32	[	[	PUNCT
ejpam-2508	32	33	(	(	PUNCT
ejpam-2508	32	34	1,2,3	1,2,3	NOUN
ejpam-2508	32	35	)	)	PUNCT
ejpam-2508	32	36	,	,	PUNCT
ejpam-2508	32	37	(	(	PUNCT
ejpam-2508	32	38	1,3	1,3	NUM
ejpam-2508	32	39	)	)	PUNCT
ejpam-2508	32	40	]	]	PUNCT
ejpam-2508	32	41	)	)	PUNCT
ejpam-2508	32	42	has	have	VERB
ejpam-2508	32	43	3	3	NUM
ejpam-2508	32	44	factor	factor	NOUN
ejpam-2508	32	45	groups	group	NOUN
ejpam-2508	32	46	.	.	PUNCT
ejpam-2508	33	1	these	these	PRON
ejpam-2508	33	2	:	:	PUNCT
ejpam-2508	34	1	[	[	X
ejpam-2508	34	2	group	group	NOUN
ejpam-2508	34	3	(	(	PUNCT
ejpam-2508	34	4	[	[	PUNCT
ejpam-2508	34	5	]	]	X
ejpam-2508	34	6	)	)	PUNCT
ejpam-2508	34	7	,	,	PUNCT
ejpam-2508	34	8	group	group	NOUN
ejpam-2508	34	9	(	(	PUNCT
ejpam-2508	34	10	[	[	PUNCT
ejpam-2508	34	11	f1	f1	NOUN
ejpam-2508	34	12	]	]	X
ejpam-2508	34	13	)	)	PUNCT
ejpam-2508	34	14	,	,	PUNCT
ejpam-2508	34	15	group	group	NOUN
ejpam-2508	34	16	(	(	PUNCT
ejpam-2508	34	17	[	[	PUNCT
ejpam-2508	34	18	(	(	PUNCT
ejpam-2508	34	19	1,2,3	1,2,3	NOUN
ejpam-2508	34	20	)	)	PUNCT
ejpam-2508	34	21	,	,	PUNCT
ejpam-2508	34	22	(	(	PUNCT
ejpam-2508	34	23	1,3	1,3	NUM
ejpam-2508	34	24	)	)	PUNCT
ejpam-2508	34	25	]	]	PUNCT
ejpam-2508	34	26	)	)	PUNCT
ejpam-2508	34	27	]	]	PUNCT
ejpam-2508	34	28	finally	finally	ADV
ejpam-2508	34	29	,	,	PUNCT
ejpam-2508	34	30	in	in	ADP
ejpam-2508	34	31	gap	gap	NOUN
ejpam-2508	34	32	,	,	PUNCT
ejpam-2508	34	33	a	a	DET
ejpam-2508	34	34	homomorphism	homomorphism	NOUN
ejpam-2508	34	35	between	between	ADP
ejpam-2508	34	36	groups	group	NOUN
ejpam-2508	34	37	is	be	AUX
ejpam-2508	34	38	defined	define	VERB
ejpam-2508	34	39	as	as	SCONJ
ejpam-2508	34	40	follows	follow	VERB
ejpam-2508	34	41	gap	gap	PROPN
ejpam-2508	34	42	>	>	X
ejpam-2508	34	43	g:=group((1,2,3)(4,5	g:=group((1,2,3)(4,5	PROPN
ejpam-2508	34	44	)	)	PUNCT
ejpam-2508	34	45	)	)	PUNCT
ejpam-2508	34	46	;	;	PUNCT
ejpam-2508	34	47	group	group	NOUN
ejpam-2508	34	48	(	(	PUNCT
ejpam-2508	34	49	[	[	PUNCT
ejpam-2508	34	50	(	(	PUNCT
ejpam-2508	34	51	1,2,3)(4,5	1,2,3)(4,5	PROPN
ejpam-2508	34	52	)	)	PUNCT
ejpam-2508	34	53	]	]	PUNCT
ejpam-2508	34	54	)	)	PUNCT
ejpam-2508	34	55	gap	gap	NOUN
ejpam-2508	34	56	>	>	X
ejpam-2508	34	57	geng:=generatorsofgroup(g	geng:=generatorsofgroup(g	PROPN
ejpam-2508	34	58	)	)	PUNCT
ejpam-2508	34	59	;	;	PUNCT
ejpam-2508	34	60	[	[	PUNCT
ejpam-2508	34	61	(	(	PUNCT
ejpam-2508	34	62	1,2,3)(4,5	1,2,3)(4,5	PROPN
ejpam-2508	34	63	)	)	PUNCT
ejpam-2508	34	64	]	]	PUNCT
ejpam-2508	34	65	gap	gap	NOUN
ejpam-2508	34	66	>	>	X
ejpam-2508	34	67	h:=group((1,2)(3,4	h:=group((1,2)(3,4	ADJ
ejpam-2508	34	68	)	)	PUNCT
ejpam-2508	34	69	)	)	PUNCT
ejpam-2508	34	70	;	;	PUNCT
ejpam-2508	34	71	group	group	NOUN
ejpam-2508	34	72	(	(	PUNCT
ejpam-2508	34	73	[	[	PUNCT
ejpam-2508	34	74	(	(	PUNCT
ejpam-2508	34	75	1,2)(3,4	1,2)(3,4	NUM
ejpam-2508	34	76	)	)	PUNCT
ejpam-2508	34	77	]	]	PUNCT
ejpam-2508	34	78	)	)	PUNCT
ejpam-2508	34	79	gap	gap	NOUN
ejpam-2508	34	80	>	>	X
ejpam-2508	34	81	hom:=grouphomomorphismbyimages(g	hom:=grouphomomorphismbyimages(g	PROPN
ejpam-2508	34	82	,	,	PUNCT
ejpam-2508	34	83	h	h	NOUN
ejpam-2508	34	84	,	,	PUNCT
ejpam-2508	34	85	geng,[(1,2	geng,[(1,2	NOUN
ejpam-2508	34	86	)	)	PUNCT
ejpam-2508	34	87	]	]	PUNCT
ejpam-2508	34	88	)	)	PUNCT
ejpam-2508	34	89	;	;	PUNCT
ejpam-2508	34	90	[	[	PUNCT
ejpam-2508	34	91	(	(	PUNCT
ejpam-2508	34	92	1,2,3)(4,5	1,2,3)(4,5	PROPN
ejpam-2508	34	93	)	)	PUNCT
ejpam-2508	34	94	]	]	PUNCT
ejpam-2508	34	95	-	-	PUNCT
ejpam-2508	34	96	>	>	X
ejpam-2508	34	97	[	[	PUNCT
ejpam-2508	34	98	(	(	PUNCT
ejpam-2508	34	99	1,2	1,2	NUM
ejpam-2508	34	100	)	)	PUNCT
ejpam-2508	34	101	]	]	PUNCT
ejpam-2508	34	102	gap	gap	NOUN
ejpam-2508	34	103	>	>	X
ejpam-2508	34	104	isgrouphomomorphism(hom	isgrouphomomorphism(hom	PROPN
ejpam-2508	34	105	)	)	PUNCT
ejpam-2508	34	106	;	;	PUNCT
ejpam-2508	34	107	true	true	ADJ
ejpam-2508	34	108	it	it	PRON
ejpam-2508	34	109	is	be	AUX
ejpam-2508	34	110	well	well	ADV
ejpam-2508	34	111	known	know	VERB
ejpam-2508	34	112	that	that	SCONJ
ejpam-2508	34	113	for	for	ADP
ejpam-2508	34	114	a	a	DET
ejpam-2508	34	115	given	give	VERB
ejpam-2508	34	116	group	group	NOUN
ejpam-2508	34	117	g	g	NOUN
ejpam-2508	34	118	and	and	CCONJ
ejpam-2508	34	119	its	its	PRON
ejpam-2508	34	120	normal	normal	ADJ
ejpam-2508	34	121	subgroup	subgroup	NOUN
ejpam-2508	34	122	h	h	NOUN
ejpam-2508	34	123	,	,	PUNCT
ejpam-2508	34	124	we	we	PRON
ejpam-2508	34	125	have	have	VERB
ejpam-2508	34	126	g	g	NOUN
ejpam-2508	34	127	/	/	SYM
ejpam-2508	34	128	h	h	NOUN
ejpam-2508	34	129	is	be	AUX
ejpam-2508	34	130	abelian	abelian	ADJ
ejpam-2508	34	131	if	if	SCONJ
ejpam-2508	34	132	and	and	CCONJ
ejpam-2508	34	133	only	only	ADV
ejpam-2508	34	134	if	if	SCONJ
ejpam-2508	34	135	[	[	X
ejpam-2508	34	136	g	g	NOUN
ejpam-2508	34	137	,	,	PUNCT
ejpam-2508	34	138	g	g	NOUN
ejpam-2508	34	139	]	]	X
ejpam-2508	34	140	⊆	⊆	NUM
ejpam-2508	34	141	h	h	NOUN
ejpam-2508	34	142	,	,	PUNCT
ejpam-2508	34	143	where	where	SCONJ
ejpam-2508	34	144	[	[	X
ejpam-2508	34	145	g	g	NOUN
ejpam-2508	34	146	,	,	PUNCT
ejpam-2508	34	147	g	g	NOUN
ejpam-2508	34	148	]	]	PUNCT
ejpam-2508	34	149	is	be	AUX
ejpam-2508	34	150	the	the	DET
ejpam-2508	34	151	commutator	commutator	NOUN
ejpam-2508	34	152	subgroup	subgroup	NOUN
ejpam-2508	34	153	of	of	ADP
ejpam-2508	34	154	g.	g.	PROPN
ejpam-2508	35	1	so	so	ADV
ejpam-2508	35	2	,	,	PUNCT
ejpam-2508	35	3	[	[	X
ejpam-2508	35	4	g	g	NOUN
ejpam-2508	35	5	,	,	PUNCT
ejpam-2508	35	6	g	g	NOUN
ejpam-2508	35	7	]	]	PUNCT
ejpam-2508	35	8	is	be	AUX
ejpam-2508	35	9	the	the	DET
ejpam-2508	35	10	smallest	small	ADJ
ejpam-2508	35	11	normal	normal	ADJ
ejpam-2508	35	12	subgroup	subgroup	NOUN
ejpam-2508	35	13	which	which	PRON
ejpam-2508	35	14	makes	make	VERB
ejpam-2508	35	15	the	the	DET
ejpam-2508	35	16	quotient	quotient	NOUN
ejpam-2508	35	17	abelian	abelian	NOUN
ejpam-2508	35	18	.	.	PUNCT
ejpam-2508	36	1	consequently	consequently	ADV
ejpam-2508	36	2	,	,	PUNCT
ejpam-2508	36	3	we	we	PRON
ejpam-2508	36	4	have	have	VERB
ejpam-2508	36	5	the	the	DET
ejpam-2508	36	6	following	follow	VERB
ejpam-2508	36	7	example	example	NOUN
ejpam-2508	36	8	.	.	PUNCT
ejpam-2508	37	1	example	example	NOUN
ejpam-2508	38	1	3	3	X
ejpam-2508	38	2	.	.	PUNCT
ejpam-2508	38	3	we	we	PRON
ejpam-2508	38	4	will	will	AUX
ejpam-2508	38	5	find	find	VERB
ejpam-2508	38	6	the	the	DET
ejpam-2508	38	7	commutator	commutator	NOUN
ejpam-2508	38	8	subgroup	subgroup	NOUN
ejpam-2508	38	9	of	of	ADP
ejpam-2508	38	10	s8	s8	PROPN
ejpam-2508	38	11	and	and	CCONJ
ejpam-2508	38	12	look	look	VERB
ejpam-2508	38	13	its	its	PRON
ejpam-2508	38	14	normality	normality	NOUN
ejpam-2508	38	15	and	and	CCONJ
ejpam-2508	38	16	show	show	VERB
ejpam-2508	38	17	that	that	SCONJ
ejpam-2508	38	18	s8/[s8,s8	s8/[s8,s8	NOUN
ejpam-2508	38	19	]	]	PUNCT
ejpam-2508	38	20	is	be	AUX
ejpam-2508	38	21	the	the	DET
ejpam-2508	38	22	largest	large	ADJ
ejpam-2508	38	23	quotient	quotient	NOUN
ejpam-2508	38	24	group	group	NOUN
ejpam-2508	38	25	in	in	ADP
ejpam-2508	38	26	the	the	DET
ejpam-2508	38	27	abelian	abelian	ADJ
ejpam-2508	38	28	qoutients	qoutient	NOUN
ejpam-2508	38	29	of	of	ADP
ejpam-2508	38	30	s8	s8	PROPN
ejpam-2508	38	31	.	.	PUNCT
ejpam-2508	39	1	a.	a.	PROPN
ejpam-2508	39	2	aslan	aslan	PROPN
ejpam-2508	39	3	,	,	PUNCT
ejpam-2508	39	4	a.	a.	PROPN
ejpam-2508	39	5	odabaş	odabaş	PROPN
ejpam-2508	39	6	/	/	SYM
ejpam-2508	39	7	eur	eur	PROPN
ejpam-2508	39	8	.	.	PUNCT
ejpam-2508	40	1	j.	j.	PROPN
ejpam-2508	40	2	pure	pure	PROPN
ejpam-2508	40	3	appl	appl	PROPN
ejpam-2508	40	4	.	.	PROPN
ejpam-2508	40	5	math	math	PROPN
ejpam-2508	40	6	,	,	PUNCT
ejpam-2508	40	7	8	8	NUM
ejpam-2508	40	8	(	(	PUNCT
ejpam-2508	40	9	2015	2015	NUM
ejpam-2508	40	10	)	)	PUNCT
ejpam-2508	40	11	,	,	PUNCT
ejpam-2508	40	12	375	375	NUM
ejpam-2508	40	13	-	-	SYM
ejpam-2508	40	14	388	388	NUM
ejpam-2508	40	15	378	378	NUM
ejpam-2508	40	16	gap	gap	NOUN
ejpam-2508	40	17	>	>	X
ejpam-2508	40	18	g:=symmetricgroup(8	g:=symmetricgroup(8	PROPN
ejpam-2508	40	19	)	)	PUNCT
ejpam-2508	40	20	;	;	PUNCT
ejpam-2508	41	1	sym	sym	NOUN
ejpam-2508	41	2	(	(	PUNCT
ejpam-2508	41	3	[	[	PUNCT
ejpam-2508	41	4	1	1	NUM
ejpam-2508	41	5	..	..	SYM
ejpam-2508	41	6	8	8	NUM
ejpam-2508	41	7	]	]	PUNCT
ejpam-2508	41	8	)	)	PUNCT
ejpam-2508	41	9	gap	gap	NOUN
ejpam-2508	41	10	>	>	X
ejpam-2508	41	11	size(g	size(g	PROPN
ejpam-2508	41	12	)	)	PUNCT
ejpam-2508	41	13	;	;	PUNCT
ejpam-2508	41	14	40320	40320	NUM
ejpam-2508	41	15	gap	gap	NOUN
ejpam-2508	41	16	>	>	X
ejpam-2508	41	17	k:=derivedsubgroup(g	k:=derivedsubgroup(g	PROPN
ejpam-2508	41	18	)	)	PUNCT
ejpam-2508	41	19	;	;	PUNCT
ejpam-2508	41	20	group	group	NOUN
ejpam-2508	41	21	(	(	PUNCT
ejpam-2508	41	22	[	[	PUNCT
ejpam-2508	41	23	(	(	PUNCT
ejpam-2508	41	24	1,3,2	1,3,2	NUM
ejpam-2508	41	25	)	)	PUNCT
ejpam-2508	41	26	,	,	PUNCT
ejpam-2508	41	27	(	(	PUNCT
ejpam-2508	41	28	1,4,3	1,4,3	NUM
ejpam-2508	41	29	)	)	PUNCT
ejpam-2508	41	30	,	,	PUNCT
ejpam-2508	41	31	(	(	PUNCT
ejpam-2508	41	32	1,4,5	1,4,5	NUM
ejpam-2508	41	33	)	)	PUNCT
ejpam-2508	41	34	,	,	PUNCT
ejpam-2508	41	35	(	(	PUNCT
ejpam-2508	41	36	1,5,6	1,5,6	NUM
ejpam-2508	41	37	)	)	PUNCT
ejpam-2508	41	38	,	,	PUNCT
ejpam-2508	41	39	(	(	PUNCT
ejpam-2508	41	40	1,4,3,6,7	1,4,3,6,7	NUM
ejpam-2508	41	41	)	)	PUNCT
ejpam-2508	41	42	,	,	PUNCT
ejpam-2508	41	43	(	(	PUNCT
ejpam-2508	41	44	1,6,8)(3,4)(5,7	1,6,8)(3,4)(5,7	NUM
ejpam-2508	41	45	)	)	PUNCT
ejpam-2508	41	46	]	]	PUNCT
ejpam-2508	41	47	)	)	PUNCT
ejpam-2508	41	48	gap	gap	NOUN
ejpam-2508	41	49	>	>	X
ejpam-2508	41	50	isnormal(g	isnormal(g	PROPN
ejpam-2508	41	51	,	,	PUNCT
ejpam-2508	41	52	k	k	NOUN
ejpam-2508	41	53	)	)	PUNCT
ejpam-2508	41	54	;	;	PUNCT
ejpam-2508	41	55	true	true	ADJ
ejpam-2508	41	56	gap	gap	NOUN
ejpam-2508	41	57	>	>	X
ejpam-2508	41	58	f:=factorgroup(g	f:=factorgroup(g	PROPN
ejpam-2508	41	59	,	,	PUNCT
ejpam-2508	41	60	k	k	NOUN
ejpam-2508	41	61	)	)	PUNCT
ejpam-2508	41	62	;	;	PUNCT
ejpam-2508	41	63	group	group	NOUN
ejpam-2508	41	64	(	(	PUNCT
ejpam-2508	41	65	[	[	PUNCT
ejpam-2508	41	66	f1	f1	NOUN
ejpam-2508	41	67	]	]	SYM
ejpam-2508	41	68	)	)	PUNCT
ejpam-2508	41	69	gap	gap	NOUN
ejpam-2508	41	70	>	>	X
ejpam-2508	41	71	isabelian(f	isabelian(f	NOUN
ejpam-2508	41	72	)	)	PUNCT
ejpam-2508	41	73	;	;	PUNCT
ejpam-2508	41	74	true	true	ADJ
ejpam-2508	41	75	gap	gap	NOUN
ejpam-2508	41	76	>	>	X
ejpam-2508	41	77	fgroup(g	fgroup(g	NOUN
ejpam-2508	41	78	)	)	PUNCT
ejpam-2508	41	79	;	;	PUNCT
ejpam-2508	41	80	symmetricgroup	symmetricgroup	NOUN
ejpam-2508	41	81	(	(	PUNCT
ejpam-2508	41	82	[	[	PUNCT
ejpam-2508	41	83	1	1	NUM
ejpam-2508	41	84	..	..	SYM
ejpam-2508	41	85	8	8	NUM
ejpam-2508	41	86	]	]	PUNCT
ejpam-2508	41	87	)	)	PUNCT
ejpam-2508	41	88	has	have	VERB
ejpam-2508	41	89	3	3	NUM
ejpam-2508	41	90	factor	factor	NOUN
ejpam-2508	41	91	groups	group	NOUN
ejpam-2508	41	92	.	.	PUNCT
ejpam-2508	42	1	these	these	DET
ejpam-2508	42	2	:	:	PUNCT
ejpam-2508	42	3	[	[	PUNCT
ejpam-2508	42	4	sym	sym	NOUN
ejpam-2508	42	5	(	(	PUNCT
ejpam-2508	42	6	[	[	PUNCT
ejpam-2508	42	7	1	1	NUM
ejpam-2508	42	8	..	..	SYM
ejpam-2508	42	9	8	8	NUM
ejpam-2508	42	10	]	]	PUNCT
ejpam-2508	42	11	)	)	PUNCT
ejpam-2508	42	12	,	,	PUNCT
ejpam-2508	42	13	group	group	NOUN
ejpam-2508	42	14	(	(	PUNCT
ejpam-2508	42	15	[	[	PUNCT
ejpam-2508	42	16	f1	f1	NOUN
ejpam-2508	42	17	]	]	X
ejpam-2508	42	18	)	)	PUNCT
ejpam-2508	42	19	,	,	PUNCT
ejpam-2508	42	20	group	group	NOUN
ejpam-2508	42	21	(	(	PUNCT
ejpam-2508	42	22	[	[	PUNCT
ejpam-2508	42	23	]	]	X
ejpam-2508	42	24	)	)	PUNCT
ejpam-2508	42	25	]	]	PUNCT
ejpam-2508	42	26	definition	definition	NOUN
ejpam-2508	42	27	1	1	NUM
ejpam-2508	42	28	.	.	PUNCT
ejpam-2508	43	1	the	the	DET
ejpam-2508	43	2	largest	large	ADJ
ejpam-2508	43	3	nilpotent	nilpotent	ADJ
ejpam-2508	43	4	normal	normal	ADJ
ejpam-2508	43	5	subgroup	subgroup	NOUN
ejpam-2508	43	6	of	of	ADP
ejpam-2508	43	7	a	a	DET
ejpam-2508	43	8	group	group	NOUN
ejpam-2508	43	9	g	g	NOUN
ejpam-2508	43	10	,	,	PUNCT
ejpam-2508	43	11	is	be	AUX
ejpam-2508	43	12	called	call	VERB
ejpam-2508	43	13	the	the	DET
ejpam-2508	43	14	fitting	fitting	ADJ
ejpam-2508	43	15	subgroup	subgroup	NOUN
ejpam-2508	43	16	,	,	PUNCT
ejpam-2508	43	17	denoted	denote	VERB
ejpam-2508	43	18	f(g	f(g	NOUN
ejpam-2508	43	19	)	)	PUNCT
ejpam-2508	43	20	.	.	PUNCT
ejpam-2508	44	1	the	the	DET
ejpam-2508	44	2	frattini	frattini	PROPN
ejpam-2508	44	3	subgroup	subgroup	NOUN
ejpam-2508	44	4	of	of	ADP
ejpam-2508	44	5	a	a	DET
ejpam-2508	44	6	group	group	NOUN
ejpam-2508	44	7	g	g	NOUN
ejpam-2508	44	8	,	,	PUNCT
ejpam-2508	44	9	denotedφ(g	denotedφ(g	PROPN
ejpam-2508	44	10	)	)	PUNCT
ejpam-2508	44	11	,	,	PUNCT
ejpam-2508	44	12	is	be	AUX
ejpam-2508	44	13	the	the	DET
ejpam-2508	44	14	intersection	intersection	NOUN
ejpam-2508	44	15	of	of	ADP
ejpam-2508	44	16	all	all	DET
ejpam-2508	44	17	maximal	maximal	ADJ
ejpam-2508	44	18	subgroups	subgroup	NOUN
ejpam-2508	44	19	of	of	ADP
ejpam-2508	44	20	g.	g.	PROPN
ejpam-2508	44	21	of	of	ADP
ejpam-2508	44	22	course	course	NOUN
ejpam-2508	44	23	,	,	PUNCT
ejpam-2508	44	24	φ(g	φ(g	PROPN
ejpam-2508	44	25	)	)	PUNCT
ejpam-2508	44	26	is	be	AUX
ejpam-2508	44	27	characteristic	characteristic	ADJ
ejpam-2508	44	28	,	,	PUNCT
ejpam-2508	44	29	and	and	CCONJ
ejpam-2508	44	30	hence	hence	ADV
ejpam-2508	44	31	normal	normal	ADJ
ejpam-2508	44	32	in	in	ADP
ejpam-2508	44	33	g	g	NOUN
ejpam-2508	44	34	,	,	PUNCT
ejpam-2508	44	35	and	and	CCONJ
ejpam-2508	44	36	it	it	PRON
ejpam-2508	44	37	is	be	AUX
ejpam-2508	44	38	nilpotent	nilpotent	ADJ
ejpam-2508	44	39	.	.	PUNCT
ejpam-2508	45	1	it	it	PRON
ejpam-2508	45	2	follows	follow	VERB
ejpam-2508	45	3	that	that	SCONJ
ejpam-2508	45	4	for	for	ADP
ejpam-2508	45	5	any	any	DET
ejpam-2508	45	6	finite	finite	ADJ
ejpam-2508	45	7	group	group	NOUN
ejpam-2508	45	8	g	g	PROPN
ejpam-2508	45	9	,	,	PUNCT
ejpam-2508	45	10	we	we	PRON
ejpam-2508	45	11	have	have	VERB
ejpam-2508	45	12	φ(g)≤	φ(g)≤	NOUN
ejpam-2508	45	13	f(g	f(g	NOUN
ejpam-2508	45	14	)	)	PUNCT
ejpam-2508	45	15	.	.	PUNCT
ejpam-2508	46	1	we	we	PRON
ejpam-2508	46	2	refer	refer	VERB
ejpam-2508	46	3	[	[	X
ejpam-2508	46	4	4	4	NUM
ejpam-2508	46	5	]	]	PUNCT
ejpam-2508	46	6	and	and	CCONJ
ejpam-2508	46	7	[	[	X
ejpam-2508	46	8	2	2	NUM
ejpam-2508	46	9	]	]	PUNCT
ejpam-2508	46	10	for	for	ADP
ejpam-2508	46	11	details	detail	NOUN
ejpam-2508	46	12	about	about	ADP
ejpam-2508	46	13	the	the	DET
ejpam-2508	46	14	fitting	fitting	ADJ
ejpam-2508	46	15	and	and	CCONJ
ejpam-2508	46	16	frattini	frattini	ADJ
ejpam-2508	46	17	subgroups	subgroup	NOUN
ejpam-2508	46	18	.	.	PUNCT
ejpam-2508	47	1	theorem	theorem	ADJ
ejpam-2508	47	2	1	1	NUM
ejpam-2508	47	3	(	(	PUNCT
ejpam-2508	47	4	frattini	frattini	ADJ
ejpam-2508	47	5	argument	argument	NOUN
ejpam-2508	47	6	)	)	PUNCT
ejpam-2508	47	7	.	.	PUNCT
ejpam-2508	48	1	let	let	VERB
ejpam-2508	48	2	ng(p	ng(p	X
ejpam-2508	48	3	)	)	PUNCT
ejpam-2508	48	4	is	be	AUX
ejpam-2508	48	5	normaliser	normaliser	NOUN
ejpam-2508	48	6	of	of	ADP
ejpam-2508	48	7	p	p	NOUN
ejpam-2508	48	8	in	in	ADP
ejpam-2508	48	9	g	g	PROPN
ejpam-2508	48	10	,	,	PUNCT
ejpam-2508	48	11	n	n	PROPN
ejpam-2508	48	12	ã	ã	NOUN
ejpam-2508	48	13	g	g	NOUN
ejpam-2508	48	14	and	and	CCONJ
ejpam-2508	48	15	suppose	suppose	VERB
ejpam-2508	48	16	that	that	SCONJ
ejpam-2508	48	17	p	p	PROPN
ejpam-2508	48	18	∈	∈	PROPN
ejpam-2508	48	19	s	s	PART
ejpam-2508	48	20	ylp(n	ylp(n	PROPN
ejpam-2508	48	21	)	)	PUNCT
ejpam-2508	48	22	.	.	PUNCT
ejpam-2508	49	1	then	then	ADV
ejpam-2508	49	2	g	g	PROPN
ejpam-2508	49	3	=	=	SYM
ejpam-2508	49	4	ng(p)n	ng(p)n	PROPN
ejpam-2508	49	5	.	.	PUNCT
ejpam-2508	49	6	theorem	theorem	VERB
ejpam-2508	49	7	2	2	NUM
ejpam-2508	49	8	.	.	PUNCT
ejpam-2508	49	9	let	let	VERB
ejpam-2508	49	10	φ(g)≤	φ(g)≤	NOUN
ejpam-2508	49	11	n	n	CCONJ
ejpam-2508	49	12	ã	ã	PRON
ejpam-2508	49	13	g	g	NOUN
ejpam-2508	49	14	and	and	CCONJ
ejpam-2508	49	15	suppose	suppose	VERB
ejpam-2508	49	16	that	that	SCONJ
ejpam-2508	49	17	n	n	CCONJ
ejpam-2508	49	18	/	/	SYM
ejpam-2508	49	19	φ(g	φ(g	PROPN
ejpam-2508	49	20	)	)	PUNCT
ejpam-2508	49	21	is	be	AUX
ejpam-2508	49	22	nilpotent	nilpotent	ADJ
ejpam-2508	49	23	.	.	PUNCT
ejpam-2508	50	1	then	then	ADV
ejpam-2508	50	2	n	n	PROPN
ejpam-2508	50	3	is	be	AUX
ejpam-2508	50	4	nilpotent	nilpotent	ADJ
ejpam-2508	50	5	.	.	PUNCT
ejpam-2508	51	1	proof	proof	NOUN
ejpam-2508	51	2	.	.	PUNCT
ejpam-2508	52	1	to	to	PART
ejpam-2508	52	2	show	show	VERB
ejpam-2508	52	3	that	that	SCONJ
ejpam-2508	52	4	n	n	PRON
ejpam-2508	52	5	is	be	AUX
ejpam-2508	52	6	nilpotent	nilpotent	ADJ
ejpam-2508	52	7	,	,	PUNCT
ejpam-2508	52	8	we	we	PRON
ejpam-2508	52	9	prove	prove	VERB
ejpam-2508	52	10	that	that	SCONJ
ejpam-2508	52	11	each	each	PRON
ejpam-2508	52	12	of	of	ADP
ejpam-2508	52	13	its	its	PRON
ejpam-2508	52	14	sylow	sylow	NOUN
ejpam-2508	52	15	subgroups	subgroup	NOUN
ejpam-2508	52	16	is	be	AUX
ejpam-2508	52	17	normal	normal	ADJ
ejpam-2508	52	18	.	.	PUNCT
ejpam-2508	53	1	for	for	ADP
ejpam-2508	53	2	this	this	DET
ejpam-2508	53	3	purpose	purpose	NOUN
ejpam-2508	53	4	,	,	PUNCT
ejpam-2508	53	5	we	we	PRON
ejpam-2508	53	6	let	let	VERB
ejpam-2508	53	7	p	p	PRON
ejpam-2508	53	8	∈	∈	PROPN
ejpam-2508	53	9	s	s	PART
ejpam-2508	53	10	ylp(n	ylp(n	PROPN
ejpam-2508	53	11	)	)	PUNCT
ejpam-2508	53	12	and	and	CCONJ
ejpam-2508	53	13	we	we	PRON
ejpam-2508	53	14	note	note	VERB
ejpam-2508	53	15	that	that	DET
ejpam-2508	53	16	pφ(g)/φ(g	pφ(g)/φ(g	NOUN
ejpam-2508	53	17	)	)	PUNCT
ejpam-2508	53	18	is	be	AUX
ejpam-2508	53	19	a	a	DET
ejpam-2508	53	20	sylow	sylow	NOUN
ejpam-2508	53	21	p	p	NOUN
ejpam-2508	53	22	-	-	PUNCT
ejpam-2508	53	23	sugroup	sugroup	NOUN
ejpam-2508	53	24	of	of	ADP
ejpam-2508	53	25	n	n	CCONJ
ejpam-2508	53	26	/	/	SYM
ejpam-2508	53	27	φ(g	φ(g	PROPN
ejpam-2508	53	28	)	)	PUNCT
ejpam-2508	53	29	.	.	PUNCT
ejpam-2508	54	1	but	but	CCONJ
ejpam-2508	54	2	n	n	CCONJ
ejpam-2508	54	3	/	/	SYM
ejpam-2508	54	4	φ(g	φ(g	PROPN
ejpam-2508	54	5	)	)	PUNCT
ejpam-2508	54	6	is	be	AUX
ejpam-2508	54	7	assumed	assume	VERB
ejpam-2508	54	8	to	to	PART
ejpam-2508	54	9	be	be	AUX
ejpam-2508	54	10	nilpotent	nilpotent	ADJ
ejpam-2508	54	11	,	,	PUNCT
ejpam-2508	54	12	and	and	CCONJ
ejpam-2508	54	13	thus	thus	ADV
ejpam-2508	54	14	its	its	PRON
ejpam-2508	54	15	sylow	sylow	NOUN
ejpam-2508	54	16	subgroups	subgroup	NOUN
ejpam-2508	54	17	are	be	AUX
ejpam-2508	54	18	normal	normal	ADJ
ejpam-2508	54	19	and	and	CCONJ
ejpam-2508	54	20	we	we	PRON
ejpam-2508	54	21	have	have	VERB
ejpam-2508	54	22	pφ(g)/φ(g	pφ(g)/φ(g	NOUN
ejpam-2508	54	23	)	)	PUNCT
ejpam-2508	55	1	ã	ã	NOUN
ejpam-2508	55	2	n	n	CCONJ
ejpam-2508	55	3	/	/	SYM
ejpam-2508	55	4	φ(g	φ(g	PROPN
ejpam-2508	55	5	)	)	PUNCT
ejpam-2508	55	6	.	.	PUNCT
ejpam-2508	56	1	thus	thus	ADV
ejpam-2508	56	2	,	,	PUNCT
ejpam-2508	56	3	in	in	ADP
ejpam-2508	56	4	fact	fact	NOUN
ejpam-2508	56	5	,	,	PUNCT
ejpam-2508	56	6	pφ(g)/φ(g	pφ(g)/φ(g	NOUN
ejpam-2508	56	7	)	)	PUNCT
ejpam-2508	56	8	is	be	AUX
ejpam-2508	56	9	actually	actually	ADV
ejpam-2508	56	10	characteristic	characteristic	ADJ
ejpam-2508	56	11	in	in	ADP
ejpam-2508	56	12	n	n	CCONJ
ejpam-2508	56	13	/	/	SYM
ejpam-2508	56	14	φ(g	φ(g	PROPN
ejpam-2508	56	15	)	)	PUNCT
ejpam-2508	56	16	and	and	CCONJ
ejpam-2508	56	17	since	since	SCONJ
ejpam-2508	56	18	n	n	CCONJ
ejpam-2508	56	19	/	/	SYM
ejpam-2508	56	20	φ(g	φ(g	PROPN
ejpam-2508	56	21	)	)	PUNCT
ejpam-2508	56	22	ã	ã	X
ejpam-2508	56	23	g	g	NOUN
ejpam-2508	56	24	/	/	SYM
ejpam-2508	56	25	φ(g	φ(g	PROPN
ejpam-2508	56	26	)	)	PUNCT
ejpam-2508	56	27	,	,	PUNCT
ejpam-2508	56	28	we	we	PRON
ejpam-2508	56	29	deduce	deduce	VERB
ejpam-2508	56	30	that	that	DET
ejpam-2508	56	31	pφ(g)/φ(g	pφ(g)/φ(g	NOUN
ejpam-2508	56	32	)	)	PUNCT
ejpam-2508	57	1	ã	ã	X
ejpam-2508	57	2	g	g	NOUN
ejpam-2508	57	3	/	/	SYM
ejpam-2508	57	4	φ(g	φ(g	PROPN
ejpam-2508	57	5	)	)	PUNCT
ejpam-2508	57	6	.	.	PUNCT
ejpam-2508	58	1	this	this	PRON
ejpam-2508	58	2	gives	give	VERB
ejpam-2508	58	3	pφ(g)ã	pφ(g)ã	PROPN
ejpam-2508	58	4	g.	g.	NOUN
ejpam-2508	58	5	since	since	SCONJ
ejpam-2508	58	6	p	p	NOUN
ejpam-2508	58	7	is	be	AUX
ejpam-2508	58	8	sylow	sylow	NOUN
ejpam-2508	58	9	in	in	ADP
ejpam-2508	58	10	n	n	PROPN
ejpam-2508	58	11	,	,	PUNCT
ejpam-2508	58	12	it	it	PRON
ejpam-2508	58	13	is	be	AUX
ejpam-2508	58	14	also	also	ADV
ejpam-2508	58	15	sylow	sylow	ADJ
ejpam-2508	58	16	in	in	ADP
ejpam-2508	58	17	pφ(g	pφ(g	NUM
ejpam-2508	58	18	)	)	PUNCT
ejpam-2508	58	19	.	.	PUNCT
ejpam-2508	59	1	since	since	SCONJ
ejpam-2508	59	2	the	the	DET
ejpam-2508	59	3	latter	latter	ADJ
ejpam-2508	59	4	subgroup	subgroup	NOUN
ejpam-2508	59	5	is	be	AUX
ejpam-2508	59	6	normal	normal	ADJ
ejpam-2508	59	7	in	in	ADP
ejpam-2508	59	8	g	g	PROPN
ejpam-2508	59	9	,	,	PUNCT
ejpam-2508	59	10	we	we	PRON
ejpam-2508	59	11	can	can	AUX
ejpam-2508	59	12	apply	apply	VERB
ejpam-2508	59	13	the	the	DET
ejpam-2508	59	14	frattini	frattini	ADJ
ejpam-2508	59	15	argument	argument	NOUN
ejpam-2508	59	16	to	to	PART
ejpam-2508	59	17	deduce	deduce	VERB
ejpam-2508	59	18	that	that	PRON
ejpam-2508	59	19	ng(p)pφ(g	ng(p)pφ(g	ADP
ejpam-2508	59	20	)	)	PUNCT
ejpam-2508	59	21	=	=	SYM
ejpam-2508	59	22	g.	g.	NOUN
ejpam-2508	59	23	since	since	SCONJ
ejpam-2508	59	24	p	p	NOUN
ejpam-2508	59	25	≤	≤	NUM
ejpam-2508	59	26	ng(p	ng(p	NOUN
ejpam-2508	59	27	)	)	PUNCT
ejpam-2508	59	28	,	,	PUNCT
ejpam-2508	59	29	however	however	ADV
ejpam-2508	59	30	,	,	PUNCT
ejpam-2508	59	31	this	this	DET
ejpam-2508	59	32	yields	yield	NOUN
ejpam-2508	59	33	ng(p)φ(g	ng(p)φ(g	PROPN
ejpam-2508	59	34	)	)	PUNCT
ejpam-2508	59	35	=	=	PUNCT
ejpam-2508	60	1	g.	g.	PROPN
ejpam-2508	61	1	it	it	PRON
ejpam-2508	61	2	follows	follow	VERB
ejpam-2508	61	3	from	from	ADP
ejpam-2508	61	4	this	this	PRON
ejpam-2508	61	5	that	that	SCONJ
ejpam-2508	61	6	ng(p	ng(p	VERB
ejpam-2508	61	7	)	)	PUNCT
ejpam-2508	61	8	=	=	SYM
ejpam-2508	61	9	g	g	PROPN
ejpam-2508	61	10	(	(	PUNCT
ejpam-2508	61	11	otherwise	otherwise	ADV
ejpam-2508	61	12	,	,	PUNCT
ejpam-2508	61	13	ng(p	ng(p	X
ejpam-2508	61	14	)	)	PUNCT
ejpam-2508	61	15	would	would	AUX
ejpam-2508	61	16	be	be	AUX
ejpam-2508	61	17	contained	contain	VERB
ejpam-2508	61	18	in	in	ADP
ejpam-2508	61	19	some	some	DET
ejpam-2508	61	20	maximal	maximal	ADJ
ejpam-2508	61	21	subgroup	subgroup	NOUN
ejpam-2508	61	22	of	of	ADP
ejpam-2508	61	23	g	g	PROPN
ejpam-2508	61	24	,	,	PUNCT
ejpam-2508	61	25	which	which	PRON
ejpam-2508	61	26	also	also	ADV
ejpam-2508	61	27	contains	contain	VERB
ejpam-2508	61	28	φ(g	φ(g	PROPN
ejpam-2508	61	29	)	)	PUNCT
ejpam-2508	61	30	,	,	PUNCT
ejpam-2508	61	31	and	and	CCONJ
ejpam-2508	61	32	this	this	PRON
ejpam-2508	61	33	would	would	AUX
ejpam-2508	61	34	contradict	contradict	VERB
ejpam-2508	61	35	the	the	DET
ejpam-2508	61	36	fact	fact	NOUN
ejpam-2508	61	37	that	that	SCONJ
ejpam-2508	61	38	ng(p)φ(g	ng(p)φ(g	PROPN
ejpam-2508	61	39	)	)	PUNCT
ejpam-2508	61	40	=	=	SYM
ejpam-2508	61	41	g	g	NOUN
ejpam-2508	61	42	)	)	PUNCT
ejpam-2508	61	43	.	.	PUNCT
ejpam-2508	62	1	we	we	PRON
ejpam-2508	62	2	now	now	ADV
ejpam-2508	62	3	have	have	VERB
ejpam-2508	62	4	ng(p	ng(p	X
ejpam-2508	62	5	)	)	PUNCT
ejpam-2508	62	6	=	=	SYM
ejpam-2508	62	7	g	g	NOUN
ejpam-2508	62	8	,	,	PUNCT
ejpam-2508	62	9	and	and	CCONJ
ejpam-2508	62	10	thus	thus	ADV
ejpam-2508	62	11	p	p	X
ejpam-2508	62	12	ã	ã	X
ejpam-2508	62	13	g.	g.	NOUN
ejpam-2508	62	14	in	in	ADP
ejpam-2508	62	15	particular	particular	ADJ
ejpam-2508	62	16	,	,	PUNCT
ejpam-2508	62	17	p	p	PROPN
ejpam-2508	62	18	ã	ã	X
ejpam-2508	62	19	n	n	NOUN
ejpam-2508	62	20	as	as	SCONJ
ejpam-2508	62	21	desired	desire	VERB
ejpam-2508	62	22	.	.	PUNCT
ejpam-2508	63	1	example	example	NOUN
ejpam-2508	63	2	4	4	NUM
ejpam-2508	63	3	.	.	PUNCT
ejpam-2508	64	1	the	the	DET
ejpam-2508	64	2	fitting	fitting	ADJ
ejpam-2508	64	3	and	and	CCONJ
ejpam-2508	64	4	frattini	frattini	ADJ
ejpam-2508	64	5	subgroups	subgroup	NOUN
ejpam-2508	64	6	of	of	ADP
ejpam-2508	64	7	the	the	DET
ejpam-2508	64	8	dihedral	dihedral	ADJ
ejpam-2508	64	9	group	group	NOUN
ejpam-2508	64	10	with	with	ADP
ejpam-2508	64	11	order	order	NOUN
ejpam-2508	64	12	28	28	NUM
ejpam-2508	64	13	can	can	AUX
ejpam-2508	64	14	be	be	AUX
ejpam-2508	64	15	obtained	obtain	VERB
ejpam-2508	64	16	by	by	ADP
ejpam-2508	64	17	gap	gap	NOUN
ejpam-2508	64	18	as	as	SCONJ
ejpam-2508	64	19	follows	follow	VERB
ejpam-2508	64	20	:	:	PUNCT
ejpam-2508	64	21	a.	a.	NOUN
ejpam-2508	64	22	aslan	aslan	PROPN
ejpam-2508	64	23	,	,	PUNCT
ejpam-2508	64	24	a.	a.	PROPN
ejpam-2508	64	25	odabaş	odabaş	PROPN
ejpam-2508	64	26	/	/	SYM
ejpam-2508	64	27	eur	eur	PROPN
ejpam-2508	64	28	.	.	PUNCT
ejpam-2508	65	1	j.	j.	PROPN
ejpam-2508	65	2	pure	pure	PROPN
ejpam-2508	65	3	appl	appl	PROPN
ejpam-2508	65	4	.	.	PROPN
ejpam-2508	65	5	math	math	PROPN
ejpam-2508	65	6	,	,	PUNCT
ejpam-2508	65	7	8	8	NUM
ejpam-2508	65	8	(	(	PUNCT
ejpam-2508	65	9	2015	2015	NUM
ejpam-2508	65	10	)	)	PUNCT
ejpam-2508	65	11	,	,	PUNCT
ejpam-2508	65	12	375	375	NUM
ejpam-2508	65	13	-	-	SYM
ejpam-2508	65	14	388	388	NUM
ejpam-2508	65	15	379	379	NUM
ejpam-2508	65	16	gap	gap	NOUN
ejpam-2508	65	17	>	>	X
ejpam-2508	65	18	d:=dihedralgroup(28	d:=dihedralgroup(28	PROPN
ejpam-2508	65	19	)	)	PUNCT
ejpam-2508	65	20	;	;	PUNCT
ejpam-2508	65	21	<	<	X
ejpam-2508	65	22	pc	pc	NOUN
ejpam-2508	65	23	group	group	NOUN
ejpam-2508	65	24	of	of	ADP
ejpam-2508	65	25	size	size	NOUN
ejpam-2508	65	26	28	28	NUM
ejpam-2508	65	27	with	with	ADP
ejpam-2508	65	28	3	3	NUM
ejpam-2508	65	29	generators	generator	NOUN
ejpam-2508	65	30	>	>	X
ejpam-2508	65	31	gap	gap	NOUN
ejpam-2508	65	32	>	>	X
ejpam-2508	65	33	fittingsubgroup(d	fittingsubgroup(d	PROPN
ejpam-2508	65	34	)	)	PUNCT
ejpam-2508	65	35	;	;	PUNCT
ejpam-2508	65	36	group	group	NOUN
ejpam-2508	65	37	(	(	PUNCT
ejpam-2508	65	38	[	[	PUNCT
ejpam-2508	65	39	f2*f3	f2*f3	PROPN
ejpam-2508	65	40	^	^	SYM
ejpam-2508	65	41	3	3	NUM
ejpam-2508	65	42	,	,	PUNCT
ejpam-2508	65	43	f3	f3	NOUN
ejpam-2508	65	44	^	^	SYM
ejpam-2508	65	45	5	5	NUM
ejpam-2508	65	46	]	]	PUNCT
ejpam-2508	65	47	)	)	PUNCT
ejpam-2508	65	48	gap	gap	NOUN
ejpam-2508	65	49	>	>	SYM
ejpam-2508	65	50	f1:=fittingsubgroup(d	f1:=fittingsubgroup(d	PROPN
ejpam-2508	65	51	)	)	PUNCT
ejpam-2508	65	52	;	;	PUNCT
ejpam-2508	65	53	group	group	NOUN
ejpam-2508	65	54	(	(	PUNCT
ejpam-2508	65	55	[	[	PUNCT
ejpam-2508	65	56	f2*f3	f2*f3	PROPN
ejpam-2508	65	57	^	^	SYM
ejpam-2508	65	58	3	3	NUM
ejpam-2508	65	59	,	,	PUNCT
ejpam-2508	65	60	f3	f3	NOUN
ejpam-2508	65	61	^	^	SYM
ejpam-2508	65	62	5	5	NUM
ejpam-2508	65	63	]	]	PUNCT
ejpam-2508	65	64	)	)	PUNCT
ejpam-2508	65	65	gap	gap	NOUN
ejpam-2508	65	66	>	>	X
ejpam-2508	65	67	size(f	size(f	PROPN
ejpam-2508	65	68	)	)	PUNCT
ejpam-2508	65	69	;	;	PUNCT
ejpam-2508	65	70	14	14	NUM
ejpam-2508	65	71	gap	gap	NOUN
ejpam-2508	65	72	>	>	X
ejpam-2508	65	73	f2:=frattinisubgroup(d	f2:=frattinisubgroup(d	PROPN
ejpam-2508	65	74	)	)	PUNCT
ejpam-2508	65	75	;	;	PUNCT
ejpam-2508	65	76	group	group	NOUN
ejpam-2508	65	77	(	(	PUNCT
ejpam-2508	65	78	[	[	PUNCT
ejpam-2508	65	79	]	]	X
ejpam-2508	65	80	)	)	PUNCT
ejpam-2508	65	81	gap	gap	NOUN
ejpam-2508	65	82	>	>	X
ejpam-2508	65	83	g:=dihedralgroup(28	g:=dihedralgroup(28	PROPN
ejpam-2508	65	84	)	)	PUNCT
ejpam-2508	65	85	;	;	PUNCT
ejpam-2508	65	86	gap	gap	NOUN
ejpam-2508	65	87	>	>	X
ejpam-2508	65	88	ns	ns	NUM
ejpam-2508	65	89	:	:	PUNCT
ejpam-2508	65	90	=	=	PROPN
ejpam-2508	65	91	normalsubgroups(d	normalsubgroups(d	PROPN
ejpam-2508	65	92	)	)	PUNCT
ejpam-2508	65	93	;	;	PUNCT
ejpam-2508	65	94	[	[	PUNCT
ejpam-2508	65	95	group	group	NOUN
ejpam-2508	65	96	(	(	PUNCT
ejpam-2508	65	97	[	[	PUNCT
ejpam-2508	65	98	]	]	X
ejpam-2508	65	99	)	)	PUNCT
ejpam-2508	65	100	,	,	PUNCT
ejpam-2508	65	101	group	group	NOUN
ejpam-2508	65	102	(	(	PUNCT
ejpam-2508	65	103	[	[	PUNCT
ejpam-2508	65	104	f2*f3	f2*f3	PROPN
ejpam-2508	65	105	^	^	SYM
ejpam-2508	65	106	3	3	NUM
ejpam-2508	65	107	]	]	PUNCT
ejpam-2508	65	108	)	)	PUNCT
ejpam-2508	65	109	,	,	PUNCT
ejpam-2508	65	110	group	group	NOUN
ejpam-2508	65	111	(	(	PUNCT
ejpam-2508	65	112	[	[	PUNCT
ejpam-2508	65	113	f3	f3	PROPN
ejpam-2508	65	114	]	]	PUNCT
ejpam-2508	65	115	)	)	PUNCT
ejpam-2508	65	116	,	,	PUNCT
ejpam-2508	65	117	group	group	NOUN
ejpam-2508	65	118	(	(	PUNCT
ejpam-2508	65	119	[	[	PUNCT
ejpam-2508	65	120	f1*f2	f1*f2	NOUN
ejpam-2508	65	121	,	,	PUNCT
ejpam-2508	65	122	f3	f3	PROPN
ejpam-2508	65	123	]	]	PUNCT
ejpam-2508	65	124	)	)	PUNCT
ejpam-2508	65	125	,	,	PUNCT
ejpam-2508	65	126	group	group	NOUN
ejpam-2508	65	127	(	(	PUNCT
ejpam-2508	65	128	[	[	PUNCT
ejpam-2508	65	129	f1	f1	NOUN
ejpam-2508	65	130	,	,	PUNCT
ejpam-2508	65	131	f3	f3	PROPN
ejpam-2508	65	132	]	]	PUNCT
ejpam-2508	65	133	)	)	PUNCT
ejpam-2508	65	134	,	,	PUNCT
ejpam-2508	65	135	group	group	NOUN
ejpam-2508	65	136	(	(	PUNCT
ejpam-2508	65	137	[	[	PUNCT
ejpam-2508	65	138	f2	f2	PROPN
ejpam-2508	65	139	,	,	PUNCT
ejpam-2508	65	140	f3	f3	PROPN
ejpam-2508	65	141	]	]	PUNCT
ejpam-2508	65	142	)	)	PUNCT
ejpam-2508	65	143	,	,	PUNCT
ejpam-2508	65	144	<	<	X
ejpam-2508	65	145	pc	pc	NOUN
ejpam-2508	65	146	group	group	NOUN
ejpam-2508	65	147	of	of	ADP
ejpam-2508	65	148	size	size	NOUN
ejpam-2508	65	149	28	28	NUM
ejpam-2508	65	150	with	with	ADP
ejpam-2508	65	151	3	3	NUM
ejpam-2508	65	152	generators	generator	NOUN
ejpam-2508	65	153	>	>	X
ejpam-2508	65	154	]	]	PUNCT
ejpam-2508	65	155	gap	gap	NOUN
ejpam-2508	65	156	>	>	X
ejpam-2508	65	157	n	n	PROPN
ejpam-2508	65	158	:	:	PUNCT
ejpam-2508	65	159	=	=	SYM
ejpam-2508	65	160	ns[2	ns[2	PROPN
ejpam-2508	65	161	]	]	PUNCT
ejpam-2508	65	162	;	;	PUNCT
ejpam-2508	65	163	;	;	PUNCT
ejpam-2508	65	164	gap	gap	NOUN
ejpam-2508	65	165	>	>	X
ejpam-2508	65	166	ff:=factorgroup(n	ff:=factorgroup(n	PROPN
ejpam-2508	65	167	,	,	PUNCT
ejpam-2508	65	168	f	f	PROPN
ejpam-2508	65	169	)	)	PUNCT
ejpam-2508	65	170	;	;	PUNCT
ejpam-2508	65	171	group	group	NOUN
ejpam-2508	65	172	(	(	PUNCT
ejpam-2508	65	173	[	[	PUNCT
ejpam-2508	65	174	f2*f3	f2*f3	PROPN
ejpam-2508	65	175	^	^	SYM
ejpam-2508	65	176	3	3	NUM
ejpam-2508	65	177	]	]	PUNCT
ejpam-2508	65	178	)	)	PUNCT
ejpam-2508	65	179	gap	gap	NOUN
ejpam-2508	65	180	>	>	X
ejpam-2508	65	181	isnilpotentgroup(ff	isnilpotentgroup(ff	PROPN
ejpam-2508	65	182	)	)	PUNCT
ejpam-2508	65	183	;	;	PUNCT
ejpam-2508	65	184	true	true	ADJ
ejpam-2508	65	185	gap	gap	NOUN
ejpam-2508	65	186	>	>	X
ejpam-2508	65	187	isnilpotentgroup(n	isnilpotentgroup(n	NOUN
ejpam-2508	65	188	)	)	PUNCT
ejpam-2508	65	189	;	;	PUNCT
ejpam-2508	65	190	true	true	ADJ
ejpam-2508	65	191	2.1	2.1	NUM
ejpam-2508	65	192	.	.	PUNCT
ejpam-2508	66	1	constructing	construct	VERB
ejpam-2508	66	2	subgroup	subgroup	NOUN
ejpam-2508	66	3	lattices	lattice	NOUN
ejpam-2508	66	4	by	by	ADP
ejpam-2508	66	5	gap	gap	NOUN
ejpam-2508	66	6	finding	find	VERB
ejpam-2508	66	7	subgroups	subgroup	NOUN
ejpam-2508	66	8	and	and	CCONJ
ejpam-2508	66	9	classification	classification	NOUN
ejpam-2508	66	10	of	of	ADP
ejpam-2508	66	11	group	group	NOUN
ejpam-2508	66	12	properties	property	NOUN
ejpam-2508	66	13	of	of	ADP
ejpam-2508	66	14	a	a	DET
ejpam-2508	66	15	group	group	NOUN
ejpam-2508	66	16	has	have	VERB
ejpam-2508	66	17	significant	significant	ADJ
ejpam-2508	66	18	importance	importance	NOUN
ejpam-2508	66	19	for	for	ADP
ejpam-2508	66	20	analyzing	analyze	VERB
ejpam-2508	66	21	its	its	PRON
ejpam-2508	66	22	relations	relation	NOUN
ejpam-2508	66	23	to	to	PART
ejpam-2508	66	24	compare	compare	VERB
ejpam-2508	66	25	with	with	ADP
ejpam-2508	66	26	other	other	ADJ
ejpam-2508	66	27	groups	group	NOUN
ejpam-2508	66	28	.	.	PUNCT
ejpam-2508	67	1	in	in	ADP
ejpam-2508	67	2	this	this	DET
ejpam-2508	67	3	section	section	NOUN
ejpam-2508	67	4	we	we	PRON
ejpam-2508	67	5	will	will	AUX
ejpam-2508	67	6	look	look	VERB
ejpam-2508	67	7	how	how	SCONJ
ejpam-2508	67	8	gap	gap	NOUN
ejpam-2508	67	9	is	be	AUX
ejpam-2508	67	10	used	use	VERB
ejpam-2508	67	11	for	for	ADP
ejpam-2508	67	12	classifying	classify	VERB
ejpam-2508	67	13	subgroups	subgroup	NOUN
ejpam-2508	67	14	.	.	PUNCT
ejpam-2508	68	1	for	for	ADP
ejpam-2508	68	2	example	example	NOUN
ejpam-2508	68	3	subgroup	subgroup	PROPN
ejpam-2508	68	4	lattice	lattice	PROPN
ejpam-2508	68	5	of	of	ADP
ejpam-2508	68	6	klein	klein	PROPN
ejpam-2508	68	7	4	4	PROPN
ejpam-2508	68	8	-	-	PUNCT
ejpam-2508	68	9	group	group	NOUN
ejpam-2508	68	10	is	be	AUX
ejpam-2508	68	11	as	as	SCONJ
ejpam-2508	68	12	shown	show	VERB
ejpam-2508	68	13	in	in	ADP
ejpam-2508	68	14	figure	figure	NOUN
ejpam-2508	68	15	1	1	NUM
ejpam-2508	69	1	[	[	X
ejpam-2508	69	2	5	5	NUM
ejpam-2508	69	3	]	]	PUNCT
ejpam-2508	69	4	.	.	PUNCT
ejpam-2508	70	1	figure	figure	NOUN
ejpam-2508	70	2	1	1	NUM
ejpam-2508	70	3	:	:	PUNCT
ejpam-2508	70	4	subgroup	subgroup	PROPN
ejpam-2508	70	5	lattice	lattice	PROPN
ejpam-2508	70	6	of	of	ADP
ejpam-2508	70	7	klein	klein	PROPN
ejpam-2508	70	8	4	4	PROPN
ejpam-2508	70	9	-	-	PUNCT
ejpam-2508	70	10	group	group	NOUN
ejpam-2508	70	11	.	.	PUNCT
ejpam-2508	71	1	a.	a.	PROPN
ejpam-2508	71	2	aslan	aslan	PROPN
ejpam-2508	71	3	,	,	PUNCT
ejpam-2508	71	4	a.	a.	PROPN
ejpam-2508	71	5	odabaş	odabaş	PROPN
ejpam-2508	71	6	/	/	SYM
ejpam-2508	71	7	eur	eur	PROPN
ejpam-2508	71	8	.	.	PUNCT
ejpam-2508	72	1	j.	j.	PROPN
ejpam-2508	72	2	pure	pure	PROPN
ejpam-2508	72	3	appl	appl	PROPN
ejpam-2508	72	4	.	.	PROPN
ejpam-2508	72	5	math	math	PROPN
ejpam-2508	72	6	,	,	PUNCT
ejpam-2508	72	7	8	8	NUM
ejpam-2508	72	8	(	(	PUNCT
ejpam-2508	72	9	2015	2015	NUM
ejpam-2508	72	10	)	)	PUNCT
ejpam-2508	72	11	,	,	PUNCT
ejpam-2508	72	12	375	375	NUM
ejpam-2508	72	13	-	-	SYM
ejpam-2508	72	14	388	388	NUM
ejpam-2508	72	15	380	380	NUM
ejpam-2508	72	16	this	this	PRON
ejpam-2508	72	17	means	mean	VERB
ejpam-2508	72	18	that	that	SCONJ
ejpam-2508	72	19	the	the	DET
ejpam-2508	72	20	group	group	NOUN
ejpam-2508	72	21	has	have	VERB
ejpam-2508	72	22	five	five	NUM
ejpam-2508	72	23	subgroups	subgroup	NOUN
ejpam-2508	72	24	where	where	SCONJ
ejpam-2508	72	25	three	three	NUM
ejpam-2508	72	26	of	of	ADP
ejpam-2508	72	27	them	they	PRON
ejpam-2508	72	28	are	be	AUX
ejpam-2508	72	29	trivial	trivial	ADJ
ejpam-2508	72	30	and	and	CCONJ
ejpam-2508	72	31	others	other	NOUN
ejpam-2508	72	32	are	be	AUX
ejpam-2508	72	33	2/1	2/1	NUM
ejpam-2508	72	34	type	type	NOUN
ejpam-2508	72	35	,	,	PUNCT
ejpam-2508	72	36	i.e.	i.e.	X
ejpam-2508	72	37	,	,	PUNCT
ejpam-2508	72	38	cyclic	cyclic	ADJ
ejpam-2508	72	39	group	group	NOUN
ejpam-2508	72	40	of	of	ADP
ejpam-2508	72	41	order	order	NOUN
ejpam-2508	72	42	2	2	X
ejpam-2508	72	43	.	.	PUNCT
ejpam-2508	73	1	these	these	DET
ejpam-2508	73	2	subgroups	subgroup	NOUN
ejpam-2508	73	3	can	can	AUX
ejpam-2508	73	4	be	be	AUX
ejpam-2508	73	5	find	find	VERB
ejpam-2508	73	6	by	by	ADP
ejpam-2508	73	7	using	use	VERB
ejpam-2508	73	8	gap	gap	NOUN
ejpam-2508	73	9	as	as	SCONJ
ejpam-2508	73	10	follows	follow	VERB
ejpam-2508	73	11	:	:	PUNCT
ejpam-2508	73	12	gap	gap	NOUN
ejpam-2508	73	13	>	>	X
ejpam-2508	73	14	k4:=group((1,2),(3,4	k4:=group((1,2),(3,4	NOUN
ejpam-2508	73	15	)	)	PUNCT
ejpam-2508	73	16	)	)	PUNCT
ejpam-2508	73	17	;	;	PUNCT
ejpam-2508	74	1	group	group	NOUN
ejpam-2508	74	2	(	(	PUNCT
ejpam-2508	74	3	[	[	PUNCT
ejpam-2508	74	4	(	(	PUNCT
ejpam-2508	74	5	1,2	1,2	NUM
ejpam-2508	74	6	)	)	PUNCT
ejpam-2508	74	7	,	,	PUNCT
ejpam-2508	74	8	(	(	PUNCT
ejpam-2508	74	9	3,4	3,4	NUM
ejpam-2508	74	10	)	)	PUNCT
ejpam-2508	74	11	]	]	PUNCT
ejpam-2508	74	12	)	)	PUNCT
ejpam-2508	74	13	gap	gap	NOUN
ejpam-2508	74	14	>	>	X
ejpam-2508	74	15	l:=latticesubgroups(k4	l:=latticesubgroups(k4	PROPN
ejpam-2508	74	16	)	)	PUNCT
ejpam-2508	74	17	;	;	PUNCT
ejpam-2508	74	18	<	<	X
ejpam-2508	74	19	subgroup	subgroup	PROPN
ejpam-2508	74	20	lattice	lattice	PROPN
ejpam-2508	74	21	of	of	ADP
ejpam-2508	74	22	group	group	NOUN
ejpam-2508	74	23	(	(	PUNCT
ejpam-2508	74	24	[	[	PUNCT
ejpam-2508	74	25	(	(	PUNCT
ejpam-2508	74	26	1,2	1,2	NUM
ejpam-2508	74	27	)	)	PUNCT
ejpam-2508	74	28	,	,	PUNCT
ejpam-2508	74	29	(	(	PUNCT
ejpam-2508	74	30	3,4	3,4	NUM
ejpam-2508	74	31	)	)	PUNCT
ejpam-2508	74	32	]	]	PUNCT
ejpam-2508	74	33	)	)	PUNCT
ejpam-2508	74	34	,	,	PUNCT
ejpam-2508	74	35	5	5	NUM
ejpam-2508	74	36	classes	class	NOUN
ejpam-2508	74	37	,	,	PUNCT
ejpam-2508	74	38	5	5	NUM
ejpam-2508	74	39	subgroups	subgroup	NOUN
ejpam-2508	74	40	>	>	X
ejpam-2508	74	41	gap	gap	NOUN
ejpam-2508	74	42	>	>	X
ejpam-2508	74	43	isabelian(k4	isabelian(k4	PROPN
ejpam-2508	74	44	)	)	PUNCT
ejpam-2508	74	45	;	;	PUNCT
ejpam-2508	74	46	true	true	ADJ
ejpam-2508	74	47	gap	gap	NOUN
ejpam-2508	74	48	>	>	X
ejpam-2508	74	49	conjugacyclassessubgroups(l	conjugacyclassessubgroups(l	NOUN
ejpam-2508	74	50	)	)	PUNCT
ejpam-2508	74	51	;	;	PUNCT
ejpam-2508	74	52	[	[	PUNCT
ejpam-2508	74	53	group	group	NOUN
ejpam-2508	74	54	(	(	PUNCT
ejpam-2508	74	55	(	(	PUNCT
ejpam-2508	74	56	)	)	PUNCT
ejpam-2508	74	57	)	)	PUNCT
ejpam-2508	74	58	^g	^g	NOUN
ejpam-2508	74	59	,	,	PUNCT
ejpam-2508	74	60	group	group	NOUN
ejpam-2508	74	61	(	(	PUNCT
ejpam-2508	74	62	[	[	PUNCT
ejpam-2508	74	63	(	(	PUNCT
ejpam-2508	74	64	3,4	3,4	NUM
ejpam-2508	74	65	)	)	PUNCT
ejpam-2508	74	66	]	]	PUNCT
ejpam-2508	74	67	)	)	PUNCT
ejpam-2508	74	68	^g	^g	NOUN
ejpam-2508	74	69	,	,	PUNCT
ejpam-2508	74	70	group	group	NOUN
ejpam-2508	74	71	(	(	PUNCT
ejpam-2508	74	72	[	[	PUNCT
ejpam-2508	74	73	(	(	PUNCT
ejpam-2508	74	74	1,2	1,2	NUM
ejpam-2508	74	75	)	)	PUNCT
ejpam-2508	74	76	]	]	PUNCT
ejpam-2508	74	77	)	)	PUNCT
ejpam-2508	74	78	^g	^g	NOUN
ejpam-2508	74	79	,	,	PUNCT
ejpam-2508	74	80	group	group	NOUN
ejpam-2508	74	81	(	(	PUNCT
ejpam-2508	74	82	[	[	PUNCT
ejpam-2508	74	83	(	(	PUNCT
ejpam-2508	74	84	1,2)(3,4	1,2)(3,4	NUM
ejpam-2508	74	85	)	)	PUNCT
ejpam-2508	74	86	]	]	PUNCT
ejpam-2508	74	87	)	)	PUNCT
ejpam-2508	74	88	^g	^g	NOUN
ejpam-2508	74	89	,	,	PUNCT
ejpam-2508	74	90	group	group	NOUN
ejpam-2508	74	91	(	(	PUNCT
ejpam-2508	74	92	[	[	PUNCT
ejpam-2508	74	93	(	(	PUNCT
ejpam-2508	74	94	3,4	3,4	NUM
ejpam-2508	74	95	)	)	PUNCT
ejpam-2508	74	96	,	,	PUNCT
ejpam-2508	74	97	(	(	PUNCT
ejpam-2508	74	98	1,2	1,2	NUM
ejpam-2508	74	99	)	)	PUNCT
ejpam-2508	74	100	]	]	PUNCT
ejpam-2508	74	101	)	)	PUNCT
ejpam-2508	74	102	^g	^g	PUNCT
ejpam-2508	74	103	]	]	PUNCT
ejpam-2508	74	104	gap	gap	NOUN
ejpam-2508	74	105	>	>	X
ejpam-2508	74	106	m:=maximalsubgroupslattice(l	m:=maximalsubgroupslattice(l	PROPN
ejpam-2508	74	107	)	)	PUNCT
ejpam-2508	74	108	;	;	PUNCT
ejpam-2508	74	109	[	[	PUNCT
ejpam-2508	74	110	[	[	PUNCT
ejpam-2508	74	111	]	]	X
ejpam-2508	74	112	,	,	PUNCT
ejpam-2508	74	113	[	[	PUNCT
ejpam-2508	74	114	[	[	PUNCT
ejpam-2508	74	115	1	1	NUM
ejpam-2508	74	116	,	,	PUNCT
ejpam-2508	74	117	1	1	NUM
ejpam-2508	74	118	]	]	PUNCT
ejpam-2508	74	119	]	]	PUNCT
ejpam-2508	74	120	,	,	PUNCT
ejpam-2508	74	121	[	[	PUNCT
ejpam-2508	74	122	[	[	PUNCT
ejpam-2508	74	123	1	1	NUM
ejpam-2508	74	124	,	,	PUNCT
ejpam-2508	74	125	1	1	NUM
ejpam-2508	74	126	]	]	PUNCT
ejpam-2508	74	127	]	]	PUNCT
ejpam-2508	74	128	,	,	PUNCT
ejpam-2508	74	129	[	[	PUNCT
ejpam-2508	74	130	[	[	PUNCT
ejpam-2508	74	131	1	1	NUM
ejpam-2508	74	132	,	,	PUNCT
ejpam-2508	74	133	1	1	NUM
ejpam-2508	74	134	]	]	PUNCT
ejpam-2508	74	135	]	]	PUNCT
ejpam-2508	74	136	,	,	PUNCT
ejpam-2508	74	137	[	[	PUNCT
ejpam-2508	74	138	[	[	PUNCT
ejpam-2508	74	139	4	4	NUM
ejpam-2508	74	140	,	,	PUNCT
ejpam-2508	74	141	1	1	NUM
ejpam-2508	74	142	]	]	PUNCT
ejpam-2508	74	143	,	,	PUNCT
ejpam-2508	74	144	[	[	PUNCT
ejpam-2508	74	145	3	3	NUM
ejpam-2508	74	146	,	,	PUNCT
ejpam-2508	74	147	1	1	NUM
ejpam-2508	74	148	]	]	PUNCT
ejpam-2508	74	149	,	,	PUNCT
ejpam-2508	74	150	[	[	PUNCT
ejpam-2508	74	151	2	2	NUM
ejpam-2508	74	152	,	,	PUNCT
ejpam-2508	74	153	1	1	NUM
ejpam-2508	74	154	]	]	PUNCT
ejpam-2508	74	155	]	]	PUNCT
ejpam-2508	74	156	]	]	X
ejpam-2508	74	157	gap	gap	NOUN
ejpam-2508	74	158	>	>	X
ejpam-2508	74	159	m[5	m[5	PROPN
ejpam-2508	74	160	]	]	PUNCT
ejpam-2508	74	161	;	;	PUNCT
ejpam-2508	74	162	[	[	PUNCT
ejpam-2508	74	163	[	[	PUNCT
ejpam-2508	74	164	4	4	NUM
ejpam-2508	74	165	,	,	PUNCT
ejpam-2508	74	166	1	1	NUM
ejpam-2508	74	167	]	]	PUNCT
ejpam-2508	74	168	,	,	PUNCT
ejpam-2508	74	169	[	[	PUNCT
ejpam-2508	74	170	3	3	NUM
ejpam-2508	74	171	,	,	PUNCT
ejpam-2508	74	172	1	1	NUM
ejpam-2508	74	173	]	]	PUNCT
ejpam-2508	74	174	,	,	PUNCT
ejpam-2508	74	175	[	[	PUNCT
ejpam-2508	74	176	2	2	NUM
ejpam-2508	74	177	,	,	PUNCT
ejpam-2508	74	178	1	1	NUM
ejpam-2508	74	179	]	]	PUNCT
ejpam-2508	74	180	]	]	PUNCT
ejpam-2508	74	181	gap	gap	NOUN
ejpam-2508	74	182	>	>	X
ejpam-2508	74	183	u1:=representative(conjugacyclassessubgroups(l)[5	u1:=representative(conjugacyclassessubgroups(l)[5	PROPN
ejpam-2508	74	184	]	]	X
ejpam-2508	74	185	)	)	PUNCT
ejpam-2508	74	186	;	;	PUNCT
ejpam-2508	74	187	group	group	NOUN
ejpam-2508	74	188	(	(	PUNCT
ejpam-2508	74	189	[	[	PUNCT
ejpam-2508	74	190	(	(	PUNCT
ejpam-2508	74	191	3,4	3,4	NUM
ejpam-2508	74	192	)	)	PUNCT
ejpam-2508	74	193	,	,	PUNCT
ejpam-2508	74	194	(	(	PUNCT
ejpam-2508	74	195	1,2	1,2	NUM
ejpam-2508	74	196	)	)	PUNCT
ejpam-2508	74	197	]	]	PUNCT
ejpam-2508	74	198	)	)	PUNCT
ejpam-2508	74	199	gap	gap	NOUN
ejpam-2508	74	200	>	>	X
ejpam-2508	74	201	u2:=classelementlattice(conjugacyclassessubgroups(l)[4],1	u2:=classelementlattice(conjugacyclassessubgroups(l)[4],1	PROPN
ejpam-2508	74	202	)	)	PUNCT
ejpam-2508	74	203	;	;	PUNCT
ejpam-2508	74	204	;	;	PUNCT
ejpam-2508	74	205	gap	gap	NOUN
ejpam-2508	74	206	>	>	X
ejpam-2508	74	207	u3:=classelementlattice(conjugacyclassessubgroups(l)[3],1	u3:=classelementlattice(conjugacyclassessubgroups(l)[3],1	PROPN
ejpam-2508	74	208	)	)	PUNCT
ejpam-2508	74	209	;	;	PUNCT
ejpam-2508	74	210	;	;	PUNCT
ejpam-2508	74	211	gap	gap	NOUN
ejpam-2508	74	212	>	>	X
ejpam-2508	74	213	u4:=classelementlattice(conjugacyclassessubgroups(l)[2],1	u4:=classelementlattice(conjugacyclassessubgroups(l)[2],1	PROPN
ejpam-2508	74	214	)	)	PUNCT
ejpam-2508	74	215	;	;	PUNCT
ejpam-2508	74	216	;	;	PUNCT
ejpam-2508	74	217	gap	gap	NOUN
ejpam-2508	74	218	>	>	X
ejpam-2508	74	219	issubgroup(u1,u2);issubgroup(u1,u3);issubgroup(u1,u4	issubgroup(u1,u2);issubgroup(u1,u3);issubgroup(u1,u4	NUM
ejpam-2508	74	220	)	)	PUNCT
ejpam-2508	74	221	;	;	PUNCT
ejpam-2508	74	222	true	true	ADJ
ejpam-2508	74	223	true	true	ADJ
ejpam-2508	74	224	true	true	ADJ
ejpam-2508	74	225	2.2	2.2	NUM
ejpam-2508	74	226	.	.	PUNCT
ejpam-2508	75	1	examples	example	NOUN
ejpam-2508	75	2	in	in	ADP
ejpam-2508	75	3	this	this	DET
ejpam-2508	75	4	section	section	NOUN
ejpam-2508	75	5	,	,	PUNCT
ejpam-2508	75	6	up	up	ADP
ejpam-2508	75	7	to	to	ADP
ejpam-2508	75	8	gap	gap	NOUN
ejpam-2508	75	9	order	order	NOUN
ejpam-2508	75	10	,	,	PUNCT
ejpam-2508	75	11	we	we	PRON
ejpam-2508	75	12	will	will	AUX
ejpam-2508	75	13	give	give	VERB
ejpam-2508	75	14	tables	table	NOUN
ejpam-2508	75	15	containing	contain	VERB
ejpam-2508	75	16	generators	generator	NOUN
ejpam-2508	75	17	of	of	ADP
ejpam-2508	75	18	(	(	PUNCT
ejpam-2508	75	19	frattini	frattini	PROPN
ejpam-2508	75	20	,	,	PUNCT
ejpam-2508	75	21	fitting	fitting	ADJ
ejpam-2508	75	22	)	)	PUNCT
ejpam-2508	75	23	subgroups	subgroup	NOUN
ejpam-2508	75	24	,	,	PUNCT
ejpam-2508	75	25	abelianess	abelianess	NOUN
ejpam-2508	75	26	property	property	NOUN
ejpam-2508	75	27	of	of	ADP
ejpam-2508	75	28	14	14	NUM
ejpam-2508	75	29	different	different	ADJ
ejpam-2508	75	30	groups	group	NOUN
ejpam-2508	75	31	of	of	ADP
ejpam-2508	75	32	order	order	NOUN
ejpam-2508	75	33	24	24	NUM
ejpam-2508	75	34	.	.	PUNCT
ejpam-2508	76	1	in	in	ADP
ejpam-2508	76	2	all	all	DET
ejpam-2508	76	3	cases	case	NOUN
ejpam-2508	76	4	,	,	PUNCT
ejpam-2508	76	5	the	the	DET
ejpam-2508	76	6	table	table	NOUN
ejpam-2508	76	7	headings	heading	NOUN
ejpam-2508	76	8	are	be	AUX
ejpam-2508	76	9	as	as	ADV
ejpam-2508	76	10	defined	define	VERB
ejpam-2508	76	11	in	in	ADP
ejpam-2508	76	12	table	table	NOUN
ejpam-2508	76	13	1	1	NUM
ejpam-2508	76	14	.	.	PUNCT
ejpam-2508	77	1	also	also	ADV
ejpam-2508	77	2	,	,	PUNCT
ejpam-2508	77	3	we	we	PRON
ejpam-2508	77	4	give	give	VERB
ejpam-2508	77	5	the	the	DET
ejpam-2508	77	6	subgroup	subgroup	NOUN
ejpam-2508	77	7	lattices	lattice	NOUN
ejpam-2508	77	8	near	near	ADP
ejpam-2508	77	9	the	the	DET
ejpam-2508	77	10	tables	table	NOUN
ejpam-2508	77	11	.	.	PUNCT
ejpam-2508	78	1	table	table	NOUN
ejpam-2508	78	2	1	1	NUM
ejpam-2508	78	3	:	:	PUNCT
ejpam-2508	78	4	group	group	PROPN
ejpam-2508	78	5	&	&	CCONJ
ejpam-2508	78	6	generator	generator	PROPN
ejpam-2508	78	7	properties	property	NOUN
ejpam-2508	78	8	group	group	NOUN
ejpam-2508	78	9	t	t	PROPN
ejpam-2508	78	10	type	type	NOUN
ejpam-2508	78	11	of	of	ADP
ejpam-2508	78	12	group	group	NOUN
ejpam-2508	78	13	ns	ns	NUM
ejpam-2508	78	14	number	number	NOUN
ejpam-2508	78	15	of	of	ADP
ejpam-2508	78	16	subgroups	subgroup	NOUN
ejpam-2508	78	17	group	group	NOUN
ejpam-2508	78	18	n	n	NOUN
ejpam-2508	78	19	name	name	NOUN
ejpam-2508	78	20	of	of	ADP
ejpam-2508	78	21	group	group	NOUN
ejpam-2508	78	22	nns	nns	NOUN
ejpam-2508	78	23	number	number	NOUN
ejpam-2508	78	24	of	of	ADP
ejpam-2508	78	25	normal	normal	ADJ
ejpam-2508	78	26	subgroups	subgroup	NOUN
ejpam-2508	78	27	gap	gap	NOUN
ejpam-2508	78	28	t	t	NOUN
ejpam-2508	78	29	type	type	NOUN
ejpam-2508	78	30	of	of	ADP
ejpam-2508	78	31	gap	gap	NOUN
ejpam-2508	78	32	fig	fig	NOUN
ejpam-2508	78	33	generators	generator	NOUN
ejpam-2508	78	34	of	of	ADP
ejpam-2508	78	35	fitting	fitting	ADJ
ejpam-2508	78	36	subgroup	subgroup	NOUN
ejpam-2508	78	37	gap	gap	NOUN
ejpam-2508	78	38	n	n	NOUN
ejpam-2508	78	39	gap	gap	NOUN
ejpam-2508	78	40	name	name	NOUN
ejpam-2508	78	41	of	of	ADP
ejpam-2508	78	42	group	group	NOUN
ejpam-2508	78	43	frg	frg	PROPN
ejpam-2508	78	44	generators	generator	NOUN
ejpam-2508	78	45	of	of	ADP
ejpam-2508	78	46	frattini	frattini	PROPN
ejpam-2508	78	47	subgroup	subgroup	PROPN
ejpam-2508	78	48	deg	deg	PROPN
ejpam-2508	78	49	.	.	PUNCT
ejpam-2508	78	50	degree	degree	PROPN
ejpam-2508	78	51	of	of	ADP
ejpam-2508	78	52	group	group	PROPN
ejpam-2508	78	53	gen	gen	PROPN
ejpam-2508	78	54	.	.	PROPN
ejpam-2508	78	55	generators	generator	NOUN
ejpam-2508	78	56	of	of	ADP
ejpam-2508	78	57	group	group	PROPN
ejpam-2508	78	58	ab	ab	PROPN
ejpam-2508	78	59	.	.	PROPN
ejpam-2508	78	60	group	group	PROPN
ejpam-2508	78	61	is	be	AUX
ejpam-2508	78	62	abelian	abelian	PROPN
ejpam-2508	78	63	a.	a.	PROPN
ejpam-2508	78	64	aslan	aslan	PROPN
ejpam-2508	78	65	,	,	PUNCT
ejpam-2508	78	66	a.	a.	PROPN
ejpam-2508	78	67	odabaş	odabaş	PROPN
ejpam-2508	78	68	/	/	SYM
ejpam-2508	78	69	eur	eur	PROPN
ejpam-2508	78	70	.	.	PUNCT
ejpam-2508	79	1	j.	j.	PROPN
ejpam-2508	79	2	pure	pure	PROPN
ejpam-2508	79	3	appl	appl	PROPN
ejpam-2508	79	4	.	.	PROPN
ejpam-2508	79	5	math	math	PROPN
ejpam-2508	79	6	,	,	PUNCT
ejpam-2508	79	7	8	8	NUM
ejpam-2508	79	8	(	(	PUNCT
ejpam-2508	79	9	2015	2015	NUM
ejpam-2508	79	10	)	)	PUNCT
ejpam-2508	79	11	,	,	PUNCT
ejpam-2508	79	12	375	375	NUM
ejpam-2508	79	13	-	-	SYM
ejpam-2508	79	14	388	388	NUM
ejpam-2508	79	15	381	381	NUM
ejpam-2508	79	16	group	group	NOUN
ejpam-2508	79	17	t	t	PROPN
ejpam-2508	79	18	24/2	24/2	NUM
ejpam-2508	79	19	group	group	PROPN
ejpam-2508	79	20	n	n	PROPN
ejpam-2508	79	21	c2	c2	PROPN
ejpam-2508	79	22	×	×	PROPN
ejpam-2508	79	23	c12	c12	NOUN
ejpam-2508	79	24	gap	gap	NOUN
ejpam-2508	79	25	t	t	PROPN
ejpam-2508	79	26	24/2	24/2	NUM
ejpam-2508	79	27	gap	gap	NOUN
ejpam-2508	79	28	n	n	PRON
ejpam-2508	79	29	c12c2	c12c2	NOUN
ejpam-2508	79	30	deg	deg	PROPN
ejpam-2508	79	31	.	.	PROPN
ejpam-2508	80	1	24	24	NUM
ejpam-2508	80	2	ab	ab	PROPN
ejpam-2508	80	3	.	.	PUNCT
ejpam-2508	80	4	abelian	abelian	PROPN
ejpam-2508	80	5	ns	ns	NUM
ejpam-2508	81	1	16	16	NUM
ejpam-2508	81	2	nns	nns	PROPN
ejpam-2508	81	3	16	16	NUM
ejpam-2508	81	4	fig	fig	NOUN
ejpam-2508	81	5	(	(	PUNCT
ejpam-2508	81	6	7,9,8	7,9,8	NUM
ejpam-2508	81	7	)	)	PUNCT
ejpam-2508	81	8	,	,	PUNCT
ejpam-2508	81	9	(	(	PUNCT
ejpam-2508	81	10	3,5)(4,6	3,5)(4,6	NUM
ejpam-2508	81	11	)	)	PUNCT
ejpam-2508	81	12	,	,	PUNCT
ejpam-2508	81	13	(	(	PUNCT
ejpam-2508	81	14	3,6,5,4	3,6,5,4	NUM
ejpam-2508	81	15	)	)	PUNCT
ejpam-2508	81	16	,	,	PUNCT
ejpam-2508	81	17	(	(	PUNCT
ejpam-2508	81	18	1,2	1,2	NUM
ejpam-2508	81	19	)	)	PUNCT
ejpam-2508	81	20	frg	frg	PROPN
ejpam-2508	81	21	(	(	PUNCT
ejpam-2508	81	22	3,5)(4,6	3,5)(4,6	NUM
ejpam-2508	81	23	)	)	PUNCT
ejpam-2508	81	24	gen	gen	PROPN
ejpam-2508	81	25	.	.	PROPN
ejpam-2508	81	26	(	(	PUNCT
ejpam-2508	81	27	1,2	1,2	NUM
ejpam-2508	81	28	)	)	PUNCT
ejpam-2508	81	29	,	,	PUNCT
ejpam-2508	81	30	(	(	PUNCT
ejpam-2508	81	31	3,4,5,6)(7,8,9	3,4,5,6)(7,8,9	NUM
ejpam-2508	81	32	)	)	PUNCT
ejpam-2508	81	33	table	table	NOUN
ejpam-2508	81	34	2	2	NUM
ejpam-2508	81	35	:	:	PUNCT
ejpam-2508	81	36	table	table	NOUN
ejpam-2508	81	37	of	of	ADP
ejpam-2508	81	38	c2	c2	PROPN
ejpam-2508	81	39	×	×	PROPN
ejpam-2508	81	40	c12	c12	PROPN
ejpam-2508	81	41	figure	figure	NOUN
ejpam-2508	81	42	2	2	NUM
ejpam-2508	81	43	:	:	PUNCT
ejpam-2508	81	44	subgroup	subgroup	NOUN
ejpam-2508	81	45	lattice	lattice	NOUN
ejpam-2508	81	46	of	of	ADP
ejpam-2508	81	47	c2	c2	PROPN
ejpam-2508	81	48	×	×	PROPN
ejpam-2508	81	49	c12	c12	PROPN
ejpam-2508	81	50	group	group	NOUN
ejpam-2508	81	51	t	t	PROPN
ejpam-2508	81	52	24/3	24/3	NUM
ejpam-2508	81	53	group	group	NOUN
ejpam-2508	81	54	n	n	PROPN
ejpam-2508	81	55	c6	c6	PROPN
ejpam-2508	81	56	×	×	PROPN
ejpam-2508	81	57	c2	c2	PROPN
ejpam-2508	81	58	2	2	NUM
ejpam-2508	81	59	gap	gap	NOUN
ejpam-2508	81	60	t	t	NOUN
ejpam-2508	81	61	24/1	24/1	NUM
ejpam-2508	81	62	gap	gap	NOUN
ejpam-2508	81	63	n	n	CCONJ
ejpam-2508	81	64	c6k4	c6k4	NOUN
ejpam-2508	81	65	deg	deg	NOUN
ejpam-2508	81	66	.	.	PROPN
ejpam-2508	82	1	24	24	NUM
ejpam-2508	82	2	ab	ab	PROPN
ejpam-2508	82	3	.	.	PUNCT
ejpam-2508	82	4	abelian	abelian	PROPN
ejpam-2508	82	5	ns	ns	NUM
ejpam-2508	82	6	32	32	NUM
ejpam-2508	82	7	nns	nns	PROPN
ejpam-2508	82	8	32	32	NUM
ejpam-2508	82	9	fig	fig	NOUN
ejpam-2508	82	10	(	(	PUNCT
ejpam-2508	82	11	8,9	8,9	NUM
ejpam-2508	82	12	)	)	PUNCT
ejpam-2508	82	13	,	,	PUNCT
ejpam-2508	82	14	(	(	PUNCT
ejpam-2508	82	15	6,7	6,7	NUM
ejpam-2508	82	16	)	)	PUNCT
ejpam-2508	82	17	,	,	PUNCT
ejpam-2508	82	18	(	(	PUNCT
ejpam-2508	82	19	4,5	4,5	NUM
ejpam-2508	82	20	)	)	PUNCT
ejpam-2508	82	21	,	,	PUNCT
ejpam-2508	82	22	(	(	PUNCT
ejpam-2508	82	23	1,2,3	1,2,3	X
ejpam-2508	82	24	)	)	PUNCT
ejpam-2508	82	25	frg	frg	NOUN
ejpam-2508	82	26	(	(	PUNCT
ejpam-2508	82	27	)	)	PUNCT
ejpam-2508	82	28	gen	gen	PROPN
ejpam-2508	82	29	.	.	PROPN
ejpam-2508	82	30	(	(	PUNCT
ejpam-2508	82	31	1,2,3)(4,5	1,2,3)(4,5	PROPN
ejpam-2508	82	32	)	)	PUNCT
ejpam-2508	82	33	,	,	PUNCT
ejpam-2508	82	34	(	(	PUNCT
ejpam-2508	82	35	6,7	6,7	NUM
ejpam-2508	82	36	)	)	PUNCT
ejpam-2508	82	37	,	,	PUNCT
ejpam-2508	82	38	(	(	PUNCT
ejpam-2508	82	39	8,9	8,9	NUM
ejpam-2508	82	40	)	)	PUNCT
ejpam-2508	82	41	table	table	NOUN
ejpam-2508	82	42	3	3	NUM
ejpam-2508	82	43	:	:	PUNCT
ejpam-2508	82	44	table	table	NOUN
ejpam-2508	82	45	of	of	ADP
ejpam-2508	82	46	c6	c6	PROPN
ejpam-2508	82	47	×	×	PROPN
ejpam-2508	82	48	c2	c2	PROPN
ejpam-2508	82	49	2	2	NUM
ejpam-2508	82	50	figure	figure	NOUN
ejpam-2508	82	51	3	3	NUM
ejpam-2508	82	52	:	:	PUNCT
ejpam-2508	82	53	subgroup	subgroup	NOUN
ejpam-2508	82	54	lattice	lattice	NOUN
ejpam-2508	82	55	of	of	ADP
ejpam-2508	82	56	c6	c6	PROPN
ejpam-2508	82	57	×	×	PROPN
ejpam-2508	82	58	c2	c2	PROPN
ejpam-2508	82	59	2	2	NUM
ejpam-2508	82	60	a.	a.	NOUN
ejpam-2508	82	61	aslan	aslan	PROPN
ejpam-2508	82	62	,	,	PUNCT
ejpam-2508	82	63	a.	a.	PROPN
ejpam-2508	82	64	odabaş	odabaş	PROPN
ejpam-2508	82	65	/	/	SYM
ejpam-2508	82	66	eur	eur	PROPN
ejpam-2508	82	67	.	.	PUNCT
ejpam-2508	83	1	j.	j.	PROPN
ejpam-2508	83	2	pure	pure	PROPN
ejpam-2508	83	3	appl	appl	PROPN
ejpam-2508	83	4	.	.	PROPN
ejpam-2508	83	5	math	math	PROPN
ejpam-2508	83	6	,	,	PUNCT
ejpam-2508	83	7	8	8	NUM
ejpam-2508	83	8	(	(	PUNCT
ejpam-2508	83	9	2015	2015	NUM
ejpam-2508	83	10	)	)	PUNCT
ejpam-2508	83	11	,	,	PUNCT
ejpam-2508	83	12	375	375	NUM
ejpam-2508	83	13	-	-	SYM
ejpam-2508	83	14	388	388	NUM
ejpam-2508	83	15	382	382	NUM
ejpam-2508	83	16	group	group	NOUN
ejpam-2508	83	17	t	t	PROPN
ejpam-2508	83	18	24/4	24/4	NUM
ejpam-2508	83	19	group	group	NOUN
ejpam-2508	83	20	n	n	NOUN
ejpam-2508	83	21	d6	d6	VERB
ejpam-2508	83	22	×	×	PROPN
ejpam-2508	83	23	c2	c2	PROPN
ejpam-2508	83	24	gap	gap	NOUN
ejpam-2508	83	25	t	t	PROPN
ejpam-2508	83	26	24/6	24/6	NUM
ejpam-2508	83	27	gap	gap	NOUN
ejpam-2508	83	28	n	n	ADP
ejpam-2508	83	29	d12c2	d12c2	X
ejpam-2508	83	30	deg	deg	NOUN
ejpam-2508	83	31	.	.	PUNCT
ejpam-2508	84	1	24	24	NUM
ejpam-2508	84	2	ab	ab	PROPN
ejpam-2508	84	3	.	.	PUNCT
ejpam-2508	84	4	not	not	PART
ejpam-2508	84	5	abelian	abelian	ADJ
ejpam-2508	84	6	ns	ns	NUM
ejpam-2508	84	7	54	54	NUM
ejpam-2508	84	8	nns	nns	PROPN
ejpam-2508	84	9	21	21	NUM
ejpam-2508	84	10	fig	fig	NOUN
ejpam-2508	84	11	(	(	PUNCT
ejpam-2508	84	12	6,7	6,7	NUM
ejpam-2508	84	13	)	)	PUNCT
ejpam-2508	84	14	,	,	PUNCT
ejpam-2508	84	15	(	(	PUNCT
ejpam-2508	84	16	4,5	4,5	NUM
ejpam-2508	84	17	)	)	PUNCT
ejpam-2508	84	18	,	,	PUNCT
ejpam-2508	84	19	(	(	PUNCT
ejpam-2508	84	20	1,3,2	1,3,2	X
ejpam-2508	84	21	)	)	PUNCT
ejpam-2508	84	22	frg	frg	NOUN
ejpam-2508	84	23	(	(	PUNCT
ejpam-2508	84	24	)	)	PUNCT
ejpam-2508	84	25	gen	gen	PROPN
ejpam-2508	84	26	.	.	PROPN
ejpam-2508	84	27	(	(	PUNCT
ejpam-2508	84	28	1,2,3)(4,5	1,2,3)(4,5	PROPN
ejpam-2508	84	29	)	)	PUNCT
ejpam-2508	84	30	,	,	PUNCT
ejpam-2508	84	31	(	(	PUNCT
ejpam-2508	84	32	2,3	2,3	NUM
ejpam-2508	84	33	)	)	PUNCT
ejpam-2508	84	34	,	,	PUNCT
ejpam-2508	84	35	(	(	PUNCT
ejpam-2508	84	36	6,7	6,7	X
ejpam-2508	84	37	)	)	PUNCT
ejpam-2508	84	38	table	table	NOUN
ejpam-2508	84	39	4	4	NUM
ejpam-2508	84	40	:	:	PUNCT
ejpam-2508	84	41	table	table	NOUN
ejpam-2508	84	42	of	of	ADP
ejpam-2508	84	43	d6	d6	ADJ
ejpam-2508	84	44	×	×	PROPN
ejpam-2508	84	45	c2	c2	PROPN
ejpam-2508	84	46	figure	figure	VERB
ejpam-2508	84	47	4	4	NUM
ejpam-2508	84	48	:	:	PUNCT
ejpam-2508	84	49	subgroup	subgroup	NOUN
ejpam-2508	84	50	lattice	lattice	NOUN
ejpam-2508	84	51	of	of	ADP
ejpam-2508	84	52	d6	d6	ADJ
ejpam-2508	84	53	×	×	PROPN
ejpam-2508	84	54	c2	c2	PROPN
ejpam-2508	84	55	group	group	PROPN
ejpam-2508	84	56	t	t	PROPN
ejpam-2508	84	57	24/5	24/5	NUM
ejpam-2508	84	58	group	group	NOUN
ejpam-2508	84	59	n	n	ADP
ejpam-2508	84	60	a4	a4	NOUN
ejpam-2508	84	61	×	×	PROPN
ejpam-2508	84	62	c2	c2	PROPN
ejpam-2508	84	63	gap	gap	NOUN
ejpam-2508	84	64	t	t	NOUN
ejpam-2508	84	65	24/10	24/10	NUM
ejpam-2508	84	66	gap	gap	NOUN
ejpam-2508	84	67	n	n	CCONJ
ejpam-2508	84	68	a4c2	a4c2	PROPN
ejpam-2508	84	69	deg	deg	PROPN
ejpam-2508	84	70	.	.	PROPN
ejpam-2508	85	1	24	24	NUM
ejpam-2508	85	2	ab	ab	PROPN
ejpam-2508	85	3	.	.	PUNCT
ejpam-2508	85	4	not	not	PART
ejpam-2508	85	5	abelian	abelian	ADJ
ejpam-2508	85	6	ns	ns	NUM
ejpam-2508	85	7	26	26	NUM
ejpam-2508	85	8	nns	nns	PROPN
ejpam-2508	85	9	6	6	NUM
ejpam-2508	85	10	fig	fig	NOUN
ejpam-2508	85	11	(	(	PUNCT
ejpam-2508	85	12	5,6	5,6	NUM
ejpam-2508	85	13	)	)	PUNCT
ejpam-2508	85	14	,	,	PUNCT
ejpam-2508	85	15	(	(	PUNCT
ejpam-2508	85	16	1,2)(3,4	1,2)(3,4	NUM
ejpam-2508	85	17	)	)	PUNCT
ejpam-2508	85	18	,	,	PUNCT
ejpam-2508	85	19	(	(	PUNCT
ejpam-2508	85	20	1,3)(2,4	1,3)(2,4	NUM
ejpam-2508	85	21	)	)	PUNCT
ejpam-2508	85	22	frg	frg	PROPN
ejpam-2508	85	23	(	(	PUNCT
ejpam-2508	85	24	)	)	PUNCT
ejpam-2508	85	25	gen	gen	PROPN
ejpam-2508	85	26	.	.	PROPN
ejpam-2508	85	27	(	(	PUNCT
ejpam-2508	85	28	1,2,3	1,2,3	NUM
ejpam-2508	85	29	)	)	PUNCT
ejpam-2508	85	30	,	,	PUNCT
ejpam-2508	85	31	(	(	PUNCT
ejpam-2508	85	32	2,3,4	2,3,4	NUM
ejpam-2508	85	33	)	)	PUNCT
ejpam-2508	85	34	,	,	PUNCT
ejpam-2508	85	35	(	(	PUNCT
ejpam-2508	85	36	5,6	5,6	NUM
ejpam-2508	85	37	)	)	PUNCT
ejpam-2508	85	38	table	table	NOUN
ejpam-2508	85	39	5	5	NUM
ejpam-2508	85	40	:	:	PUNCT
ejpam-2508	85	41	table	table	NOUN
ejpam-2508	85	42	of	of	ADP
ejpam-2508	85	43	a4	a4	NOUN
ejpam-2508	85	44	×	×	PROPN
ejpam-2508	85	45	c2	c2	PROPN
ejpam-2508	85	46	figure	figure	NOUN
ejpam-2508	85	47	5	5	NUM
ejpam-2508	85	48	:	:	PUNCT
ejpam-2508	85	49	subgroup	subgroup	NOUN
ejpam-2508	85	50	lattice	lattice	NOUN
ejpam-2508	85	51	of	of	ADP
ejpam-2508	85	52	a4	a4	NOUN
ejpam-2508	85	53	×	×	PROPN
ejpam-2508	85	54	c2	c2	PROPN
ejpam-2508	85	55	a.	a.	PROPN
ejpam-2508	85	56	aslan	aslan	PROPN
ejpam-2508	85	57	,	,	PUNCT
ejpam-2508	85	58	a.	a.	PROPN
ejpam-2508	85	59	odabaş	odabaş	PROPN
ejpam-2508	85	60	/	/	SYM
ejpam-2508	85	61	eur	eur	PROPN
ejpam-2508	85	62	.	.	PUNCT
ejpam-2508	86	1	j.	j.	PROPN
ejpam-2508	86	2	pure	pure	PROPN
ejpam-2508	86	3	appl	appl	PROPN
ejpam-2508	86	4	.	.	PROPN
ejpam-2508	86	5	math	math	PROPN
ejpam-2508	86	6	,	,	PUNCT
ejpam-2508	86	7	8	8	NUM
ejpam-2508	86	8	(	(	PUNCT
ejpam-2508	86	9	2015	2015	NUM
ejpam-2508	86	10	)	)	PUNCT
ejpam-2508	86	11	,	,	PUNCT
ejpam-2508	86	12	375	375	NUM
ejpam-2508	86	13	-	-	SYM
ejpam-2508	86	14	388	388	NUM
ejpam-2508	86	15	383	383	NUM
ejpam-2508	86	16	group	group	NOUN
ejpam-2508	86	17	t	t	PROPN
ejpam-2508	86	18	24/6	24/6	NUM
ejpam-2508	86	19	group	group	NOUN
ejpam-2508	86	20	n	n	PROPN
ejpam-2508	86	21	q6	q6	PROPN
ejpam-2508	86	22	×	×	PROPN
ejpam-2508	86	23	c2	c2	PROPN
ejpam-2508	86	24	gap	gap	NOUN
ejpam-2508	86	25	t	t	PROPN
ejpam-2508	86	26	24/8	24/8	NUM
ejpam-2508	86	27	gap	gap	NOUN
ejpam-2508	86	28	n	n	PRON
ejpam-2508	86	29	q12c2	q12c2	NOUN
ejpam-2508	86	30	deg	deg	PROPN
ejpam-2508	86	31	.	.	PUNCT
ejpam-2508	87	1	24	24	NUM
ejpam-2508	87	2	ab	ab	PROPN
ejpam-2508	87	3	.	.	PUNCT
ejpam-2508	87	4	not	not	PART
ejpam-2508	87	5	abelian	abelian	ADJ
ejpam-2508	87	6	ns	ns	NUM
ejpam-2508	87	7	22	22	NUM
ejpam-2508	87	8	nns	nns	PROPN
ejpam-2508	87	9	13	13	NUM
ejpam-2508	87	10	fig	fig	NOUN
ejpam-2508	87	11	(	(	PUNCT
ejpam-2508	87	12	8,9	8,9	NUM
ejpam-2508	87	13	)	)	PUNCT
ejpam-2508	87	14	,	,	PUNCT
ejpam-2508	87	15	(	(	PUNCT
ejpam-2508	87	16	5,7,6	5,7,6	NUM
ejpam-2508	87	17	)	)	PUNCT
ejpam-2508	87	18	,	,	PUNCT
ejpam-2508	87	19	(	(	PUNCT
ejpam-2508	87	20	1,2)(3,4	1,2)(3,4	X
ejpam-2508	87	21	)	)	PUNCT
ejpam-2508	87	22	frg	frg	PROPN
ejpam-2508	87	23	(	(	PUNCT
ejpam-2508	87	24	1,2)(3,4	1,2)(3,4	NUM
ejpam-2508	87	25	)	)	PUNCT
ejpam-2508	87	26	gen	gen	PROPN
ejpam-2508	87	27	.	.	PROPN
ejpam-2508	88	1	(	(	PUNCT
ejpam-2508	88	2	1,2)(3,4)(5,6,7	1,2)(3,4)(5,6,7	NUM
ejpam-2508	88	3	)	)	PUNCT
ejpam-2508	88	4	,	,	PUNCT
ejpam-2508	88	5	(	(	PUNCT
ejpam-2508	88	6	1,3,2,4)(6,7	1,3,2,4)(6,7	NUM
ejpam-2508	88	7	)	)	PUNCT
ejpam-2508	89	1	,	,	PUNCT
ejpam-2508	89	2	(	(	PUNCT
ejpam-2508	89	3	8,9	8,9	NUM
ejpam-2508	89	4	)	)	PUNCT
ejpam-2508	89	5	table	table	NOUN
ejpam-2508	89	6	6	6	NUM
ejpam-2508	89	7	:	:	PUNCT
ejpam-2508	89	8	table	table	NOUN
ejpam-2508	89	9	of	of	ADP
ejpam-2508	89	10	q6	q6	PROPN
ejpam-2508	89	11	×	×	PROPN
ejpam-2508	89	12	c2	c2	PROPN
ejpam-2508	89	13	figure	figure	VERB
ejpam-2508	89	14	6	6	NUM
ejpam-2508	89	15	:	:	PUNCT
ejpam-2508	89	16	subgroup	subgroup	NOUN
ejpam-2508	89	17	lattice	lattice	NOUN
ejpam-2508	89	18	of	of	ADP
ejpam-2508	89	19	q6	q6	PROPN
ejpam-2508	89	20	×	×	PROPN
ejpam-2508	89	21	c2	c2	PROPN
ejpam-2508	89	22	group	group	PROPN
ejpam-2508	89	23	t	t	PROPN
ejpam-2508	89	24	24/7	24/7	PROPN
ejpam-2508	89	25	group	group	NOUN
ejpam-2508	89	26	n	n	PROPN
ejpam-2508	89	27	d4	d4	PROPN
ejpam-2508	89	28	×	×	PROPN
ejpam-2508	89	29	c3	c3	NOUN
ejpam-2508	89	30	gap	gap	NOUN
ejpam-2508	89	31	t	t	PROPN
ejpam-2508	89	32	24/4	24/4	NUM
ejpam-2508	89	33	gap	gap	NOUN
ejpam-2508	89	34	n	n	PRON
ejpam-2508	89	35	d8c3	d8c3	NOUN
ejpam-2508	89	36	deg	deg	PROPN
ejpam-2508	89	37	.	.	PROPN
ejpam-2508	90	1	24	24	NUM
ejpam-2508	90	2	ab	ab	PROPN
ejpam-2508	90	3	.	.	PUNCT
ejpam-2508	90	4	not	not	PART
ejpam-2508	90	5	abelian	abelian	ADJ
ejpam-2508	90	6	ns	ns	NUM
ejpam-2508	90	7	20	20	NUM
ejpam-2508	90	8	nns	nns	NOUN
ejpam-2508	90	9	12	12	NUM
ejpam-2508	90	10	fig	fig	NOUN
ejpam-2508	90	11	(	(	PUNCT
ejpam-2508	90	12	5,7,6	5,7,6	NUM
ejpam-2508	90	13	)	)	PUNCT
ejpam-2508	90	14	,	,	PUNCT
ejpam-2508	90	15	(	(	PUNCT
ejpam-2508	90	16	2,4	2,4	NUM
ejpam-2508	90	17	)	)	PUNCT
ejpam-2508	90	18	,	,	PUNCT
ejpam-2508	90	19	(	(	PUNCT
ejpam-2508	90	20	1,3)(2,4	1,3)(2,4	NUM
ejpam-2508	90	21	)	)	PUNCT
ejpam-2508	90	22	,	,	PUNCT
ejpam-2508	90	23	(	(	PUNCT
ejpam-2508	90	24	1,43,2	1,43,2	X
ejpam-2508	90	25	)	)	PUNCT
ejpam-2508	90	26	frg	frg	PROPN
ejpam-2508	90	27	(	(	PUNCT
ejpam-2508	90	28	1,3)(2,4	1,3)(2,4	NUM
ejpam-2508	90	29	)	)	PUNCT
ejpam-2508	90	30	gen	gen	PROPN
ejpam-2508	90	31	.	.	PROPN
ejpam-2508	91	1	(	(	PUNCT
ejpam-2508	91	2	1,2,3,4)(5,6,7	1,2,3,4)(5,6,7	NUM
ejpam-2508	91	3	)	)	PUNCT
ejpam-2508	91	4	,	,	PUNCT
ejpam-2508	91	5	(	(	PUNCT
ejpam-2508	91	6	2,4	2,4	X
ejpam-2508	91	7	)	)	PUNCT
ejpam-2508	91	8	table	table	NOUN
ejpam-2508	91	9	7	7	NUM
ejpam-2508	91	10	:	:	PUNCT
ejpam-2508	91	11	table	table	NOUN
ejpam-2508	91	12	of	of	ADP
ejpam-2508	91	13	d4	d4	PROPN
ejpam-2508	91	14	×	×	PROPN
ejpam-2508	91	15	c3	c3	PROPN
ejpam-2508	91	16	figure	figure	NOUN
ejpam-2508	91	17	7	7	NUM
ejpam-2508	91	18	:	:	PUNCT
ejpam-2508	91	19	subgroup	subgroup	NOUN
ejpam-2508	91	20	lattice	lattice	NOUN
ejpam-2508	91	21	of	of	ADP
ejpam-2508	91	22	d4	d4	PROPN
ejpam-2508	91	23	×	×	PROPN
ejpam-2508	91	24	c3	c3	PROPN
ejpam-2508	91	25	a.	a.	PROPN
ejpam-2508	91	26	aslan	aslan	PROPN
ejpam-2508	91	27	,	,	PUNCT
ejpam-2508	91	28	a.	a.	PROPN
ejpam-2508	91	29	odabaş	odabaş	PROPN
ejpam-2508	91	30	/	/	SYM
ejpam-2508	91	31	eur	eur	PROPN
ejpam-2508	91	32	.	.	PUNCT
ejpam-2508	92	1	j.	j.	PROPN
ejpam-2508	92	2	pure	pure	PROPN
ejpam-2508	92	3	appl	appl	PROPN
ejpam-2508	92	4	.	.	PROPN
ejpam-2508	92	5	math	math	PROPN
ejpam-2508	92	6	,	,	PUNCT
ejpam-2508	92	7	8	8	NUM
ejpam-2508	92	8	(	(	PUNCT
ejpam-2508	92	9	2015	2015	NUM
ejpam-2508	92	10	)	)	PUNCT
ejpam-2508	92	11	,	,	PUNCT
ejpam-2508	92	12	375	375	NUM
ejpam-2508	92	13	-	-	SYM
ejpam-2508	92	14	388	388	NUM
ejpam-2508	92	15	384	384	NUM
ejpam-2508	92	16	group	group	NOUN
ejpam-2508	92	17	t	t	PROPN
ejpam-2508	92	18	24/8	24/8	NUM
ejpam-2508	92	19	group	group	NOUN
ejpam-2508	92	20	n	n	CCONJ
ejpam-2508	92	21	q×	q×	PROPN
ejpam-2508	92	22	c3	c3	NOUN
ejpam-2508	92	23	gap	gap	NOUN
ejpam-2508	92	24	t	t	PROPN
ejpam-2508	92	25	24/5	24/5	NUM
ejpam-2508	92	26	gap	gap	NOUN
ejpam-2508	92	27	n	n	PROPN
ejpam-2508	92	28	q8c3	q8c3	PROPN
ejpam-2508	92	29	deg	deg	PROPN
ejpam-2508	92	30	.	.	PROPN
ejpam-2508	93	1	24	24	NUM
ejpam-2508	93	2	ab	ab	PROPN
ejpam-2508	93	3	.	.	PUNCT
ejpam-2508	93	4	not	not	PART
ejpam-2508	93	5	abelian	abelian	ADJ
ejpam-2508	93	6	ns	ns	NUM
ejpam-2508	93	7	12	12	NUM
ejpam-2508	93	8	nns	nns	NOUN
ejpam-2508	93	9	12	12	NUM
ejpam-2508	93	10	fig	fig	NOUN
ejpam-2508	93	11	(	(	PUNCT
ejpam-2508	93	12	9,11,10	9,11,10	NUM
ejpam-2508	93	13	)	)	PUNCT
ejpam-2508	93	14	,	,	PUNCT
ejpam-2508	93	15	(	(	PUNCT
ejpam-2508	93	16	1,2)(3,4)(5,6)(7,8	1,2)(3,4)(5,6)(7,8	NOUN
ejpam-2508	93	17	)	)	PUNCT
ejpam-2508	93	18	(	(	PUNCT
ejpam-2508	93	19	1,6,2,5)(3,8,4,7	1,6,2,5)(3,8,4,7	NUM
ejpam-2508	93	20	)	)	PUNCT
ejpam-2508	93	21	(	(	PUNCT
ejpam-2508	93	22	1,8,2,7)(3,5,4,6	1,8,2,7)(3,5,4,6	NUM
ejpam-2508	93	23	)	)	PUNCT
ejpam-2508	93	24	frg	frg	PROPN
ejpam-2508	93	25	(	(	PUNCT
ejpam-2508	93	26	1,2)(3,4)(5,6)(7,8	1,2)(3,4)(5,6)(7,8	NOUN
ejpam-2508	93	27	)	)	PUNCT
ejpam-2508	93	28	gen	gen	PROPN
ejpam-2508	93	29	.	.	PROPN
ejpam-2508	93	30	(	(	PUNCT
ejpam-2508	93	31	1,5,2,6)(3,7,4,8	1,5,2,6)(3,7,4,8	NUM
ejpam-2508	93	32	)	)	PUNCT
ejpam-2508	93	33	,	,	PUNCT
ejpam-2508	93	34	(	(	PUNCT
ejpam-2508	93	35	1,7,2,8)(3,6,4,5	1,7,2,8)(3,6,4,5	NUM
ejpam-2508	93	36	)	)	PUNCT
ejpam-2508	93	37	,	,	PUNCT
ejpam-2508	93	38	(	(	PUNCT
ejpam-2508	93	39	9,10,11	9,10,11	X
ejpam-2508	93	40	)	)	PUNCT
ejpam-2508	93	41	table	table	NOUN
ejpam-2508	93	42	8	8	NUM
ejpam-2508	93	43	:	:	PUNCT
ejpam-2508	93	44	table	table	NOUN
ejpam-2508	93	45	of	of	ADP
ejpam-2508	93	46	q×	q×	PROPN
ejpam-2508	93	47	c3	c3	X
ejpam-2508	93	48	figure	figure	NOUN
ejpam-2508	93	49	8	8	NUM
ejpam-2508	93	50	:	:	PUNCT
ejpam-2508	93	51	subgroup	subgroup	NOUN
ejpam-2508	93	52	lattice	lattice	PROPN
ejpam-2508	93	53	of	of	ADP
ejpam-2508	93	54	q×	q×	PROPN
ejpam-2508	93	55	c3	c3	PROPN
ejpam-2508	93	56	group	group	NOUN
ejpam-2508	93	57	t	t	PROPN
ejpam-2508	93	58	24/9	24/9	NUM
ejpam-2508	93	59	group	group	NOUN
ejpam-2508	93	60	n	n	NOUN
ejpam-2508	93	61	s3	s3	PROPN
ejpam-2508	93	62	×	×	NOUN
ejpam-2508	93	63	c4	c4	NOUN
ejpam-2508	93	64	gap	gap	NOUN
ejpam-2508	93	65	t	t	PROPN
ejpam-2508	93	66	24/7	24/7	PROPN
ejpam-2508	93	67	gap	gap	NOUN
ejpam-2508	93	68	n	n	CCONJ
ejpam-2508	93	69	s3c4	s3c4	ADP
ejpam-2508	93	70	deg	deg	PROPN
ejpam-2508	93	71	.	.	PROPN
ejpam-2508	94	1	24	24	NUM
ejpam-2508	94	2	ab	ab	PROPN
ejpam-2508	94	3	.	.	PUNCT
ejpam-2508	94	4	not	not	PART
ejpam-2508	94	5	abelian	abelian	ADJ
ejpam-2508	94	6	ns	ns	NUM
ejpam-2508	94	7	26	26	NUM
ejpam-2508	94	8	nns	nns	PROPN
ejpam-2508	94	9	11	11	NUM
ejpam-2508	94	10	fig	fig	NOUN
ejpam-2508	94	11	(	(	PUNCT
ejpam-2508	94	12	4,6)(5,7	4,6)(5,7	NUM
ejpam-2508	94	13	)	)	PUNCT
ejpam-2508	94	14	,	,	PUNCT
ejpam-2508	94	15	(	(	PUNCT
ejpam-2508	94	16	4,7,6,5	4,7,6,5	NUM
ejpam-2508	94	17	)	)	PUNCT
ejpam-2508	94	18	,	,	PUNCT
ejpam-2508	94	19	(	(	PUNCT
ejpam-2508	94	20	1,2,3	1,2,3	X
ejpam-2508	94	21	)	)	PUNCT
ejpam-2508	94	22	frg	frg	NOUN
ejpam-2508	94	23	(	(	PUNCT
ejpam-2508	94	24	4,6)(5,7	4,6)(5,7	PROPN
ejpam-2508	94	25	)	)	PUNCT
ejpam-2508	95	1	gen	gen	PROPN
ejpam-2508	95	2	.	.	PROPN
ejpam-2508	95	3	(	(	PUNCT
ejpam-2508	95	4	1,2	1,2	NUM
ejpam-2508	95	5	)	)	PUNCT
ejpam-2508	95	6	,	,	PUNCT
ejpam-2508	95	7	(	(	PUNCT
ejpam-2508	95	8	2,3	2,3	NUM
ejpam-2508	95	9	)	)	PUNCT
ejpam-2508	95	10	,	,	PUNCT
ejpam-2508	95	11	(	(	PUNCT
ejpam-2508	95	12	4,5,6,7	4,5,6,7	NUM
ejpam-2508	95	13	)	)	PUNCT
ejpam-2508	95	14	table	table	NOUN
ejpam-2508	95	15	9	9	NUM
ejpam-2508	95	16	:	:	PUNCT
ejpam-2508	95	17	table	table	NOUN
ejpam-2508	95	18	of	of	ADP
ejpam-2508	95	19	s3	s3	PROPN
ejpam-2508	95	20	×	×	PROPN
ejpam-2508	95	21	c4	c4	NOUN
ejpam-2508	95	22	figure	figure	NOUN
ejpam-2508	95	23	9	9	NUM
ejpam-2508	95	24	:	:	PUNCT
ejpam-2508	95	25	subgroup	subgroup	NOUN
ejpam-2508	95	26	lattice	lattice	NOUN
ejpam-2508	95	27	of	of	ADP
ejpam-2508	95	28	s3	s3	PROPN
ejpam-2508	95	29	×	×	PROPN
ejpam-2508	95	30	c4	c4	PROPN
ejpam-2508	95	31	a.	a.	PROPN
ejpam-2508	95	32	aslan	aslan	PROPN
ejpam-2508	95	33	,	,	PUNCT
ejpam-2508	95	34	a.	a.	PROPN
ejpam-2508	95	35	odabaş	odabaş	PROPN
ejpam-2508	95	36	/	/	SYM
ejpam-2508	95	37	eur	eur	PROPN
ejpam-2508	95	38	.	.	PUNCT
ejpam-2508	96	1	j.	j.	PROPN
ejpam-2508	96	2	pure	pure	PROPN
ejpam-2508	96	3	appl	appl	PROPN
ejpam-2508	96	4	.	.	PROPN
ejpam-2508	96	5	math	math	PROPN
ejpam-2508	96	6	,	,	PUNCT
ejpam-2508	96	7	8	8	NUM
ejpam-2508	96	8	(	(	PUNCT
ejpam-2508	96	9	2015	2015	NUM
ejpam-2508	96	10	)	)	PUNCT
ejpam-2508	96	11	,	,	PUNCT
ejpam-2508	96	12	375	375	NUM
ejpam-2508	96	13	-	-	SYM
ejpam-2508	96	14	388	388	NUM
ejpam-2508	96	15	385	385	NUM
ejpam-2508	96	16	group	group	NOUN
ejpam-2508	96	17	t	t	PROPN
ejpam-2508	96	18	24/10	24/10	NUM
ejpam-2508	96	19	group	group	NOUN
ejpam-2508	96	20	n	n	CCONJ
ejpam-2508	96	21	d12	d12	NOUN
ejpam-2508	96	22	gap	gap	NOUN
ejpam-2508	96	23	t	t	NOUN
ejpam-2508	96	24	24/12	24/12	NUM
ejpam-2508	96	25	gap	gap	NOUN
ejpam-2508	96	26	n	n	CCONJ
ejpam-2508	96	27	d24	d24	NOUN
ejpam-2508	96	28	deg	deg	NOUN
ejpam-2508	96	29	.	.	PUNCT
ejpam-2508	97	1	24	24	NUM
ejpam-2508	97	2	ab	ab	PROPN
ejpam-2508	97	3	.	.	PUNCT
ejpam-2508	97	4	not	not	PART
ejpam-2508	97	5	abelian	abelian	ADJ
ejpam-2508	97	6	ns	ns	NUM
ejpam-2508	97	7	34	34	NUM
ejpam-2508	97	8	nns	nns	NOUN
ejpam-2508	97	9	9	9	NUM
ejpam-2508	97	10	fig	fig	NOUN
ejpam-2508	97	11	(	(	PUNCT
ejpam-2508	97	12	4,6)(5,7	4,6)(5,7	NUM
ejpam-2508	97	13	)	)	PUNCT
ejpam-2508	97	14	,	,	PUNCT
ejpam-2508	97	15	(	(	PUNCT
ejpam-2508	97	16	4,7,6,5	4,7,6,5	NUM
ejpam-2508	97	17	)	)	PUNCT
ejpam-2508	97	18	,	,	PUNCT
ejpam-2508	97	19	(	(	PUNCT
ejpam-2508	97	20	1,2,3	1,2,3	X
ejpam-2508	97	21	)	)	PUNCT
ejpam-2508	97	22	frg	frg	NOUN
ejpam-2508	97	23	(	(	PUNCT
ejpam-2508	97	24	4,6)(5,7	4,6)(5,7	PROPN
ejpam-2508	97	25	)	)	PUNCT
ejpam-2508	97	26	gen	gen	PROPN
ejpam-2508	97	27	.	.	PROPN
ejpam-2508	97	28	(	(	PUNCT
ejpam-2508	97	29	1,2,3)(4,5,6,7	1,2,3)(4,5,6,7	NOUN
ejpam-2508	97	30	)	)	PUNCT
ejpam-2508	97	31	,	,	PUNCT
ejpam-2508	97	32	(	(	PUNCT
ejpam-2508	97	33	2,3)(4,7)(5,6	2,3)(4,7)(5,6	NUM
ejpam-2508	97	34	)	)	PUNCT
ejpam-2508	97	35	table	table	NOUN
ejpam-2508	97	36	10	10	NUM
ejpam-2508	97	37	:	:	PUNCT
ejpam-2508	97	38	table	table	NOUN
ejpam-2508	97	39	of	of	ADP
ejpam-2508	97	40	d12	d12	ADJ
ejpam-2508	97	41	figure	figure	NOUN
ejpam-2508	97	42	10	10	NUM
ejpam-2508	97	43	:	:	PUNCT
ejpam-2508	97	44	subgroup	subgroup	PROPN
ejpam-2508	97	45	lattice	lattice	PROPN
ejpam-2508	97	46	of	of	ADP
ejpam-2508	97	47	d12	d12	PROPN
ejpam-2508	97	48	group	group	NOUN
ejpam-2508	97	49	t	t	PROPN
ejpam-2508	97	50	24/11	24/11	NUM
ejpam-2508	97	51	group	group	NOUN
ejpam-2508	97	52	n	n	NOUN
ejpam-2508	97	53	q12	q12	NOUN
ejpam-2508	97	54	gap	gap	NOUN
ejpam-2508	97	55	t	t	PROPN
ejpam-2508	97	56	24/13	24/13	NUM
ejpam-2508	97	57	gap	gap	NOUN
ejpam-2508	97	58	n	n	PRON
ejpam-2508	97	59	q24	q24	NOUN
ejpam-2508	97	60	deg	deg	NOUN
ejpam-2508	97	61	.	.	PUNCT
ejpam-2508	98	1	24	24	NUM
ejpam-2508	98	2	ab	ab	PROPN
ejpam-2508	98	3	.	.	PUNCT
ejpam-2508	98	4	not	not	PART
ejpam-2508	98	5	abelian	abelian	ADJ
ejpam-2508	98	6	ns	ns	NUM
ejpam-2508	98	7	18	18	NUM
ejpam-2508	98	8	nns	nns	NOUN
ejpam-2508	98	9	9	9	NUM
ejpam-2508	98	10	fig	fig	NOUN
ejpam-2508	98	11	(	(	PUNCT
ejpam-2508	98	12	9,10,11	9,10,11	NUM
ejpam-2508	98	13	)	)	PUNCT
ejpam-2508	98	14	,	,	PUNCT
ejpam-2508	98	15	(	(	PUNCT
ejpam-2508	98	16	1,3)(2,4)(5,7)(6,8	1,3)(2,4)(5,7)(6,8	NUM
ejpam-2508	98	17	)	)	PUNCT
ejpam-2508	98	18	,	,	PUNCT
ejpam-2508	98	19	(	(	PUNCT
ejpam-2508	98	20	1,4,3,2)(5,8,7,6	1,4,3,2)(5,8,7,6	NUM
ejpam-2508	98	21	)	)	PUNCT
ejpam-2508	98	22	frg	frg	PROPN
ejpam-2508	98	23	(	(	PUNCT
ejpam-2508	98	24	1,3)(2,4)(5,7)(6,8	1,3)(2,4)(5,7)(6,8	NUM
ejpam-2508	98	25	)	)	PUNCT
ejpam-2508	98	26	gen	gen	PROPN
ejpam-2508	98	27	.	.	PROPN
ejpam-2508	98	28	(	(	PUNCT
ejpam-2508	98	29	1,2,3,4)(5,6,7,8)(9,10,11	1,2,3,4)(5,6,7,8)(9,10,11	NUM
ejpam-2508	98	30	)	)	PUNCT
ejpam-2508	98	31	,	,	PUNCT
ejpam-2508	98	32	(	(	PUNCT
ejpam-2508	98	33	1,5,3,7)(2,8,4,6)(10,11	1,5,3,7)(2,8,4,6)(10,11	X
ejpam-2508	98	34	)	)	PUNCT
ejpam-2508	98	35	table	table	NOUN
ejpam-2508	98	36	11	11	NUM
ejpam-2508	98	37	:	:	PUNCT
ejpam-2508	98	38	table	table	NOUN
ejpam-2508	98	39	of	of	ADP
ejpam-2508	98	40	q12	q12	NOUN
ejpam-2508	98	41	figure	figure	NOUN
ejpam-2508	98	42	11	11	NUM
ejpam-2508	98	43	:	:	PUNCT
ejpam-2508	98	44	subgroup	subgroup	NOUN
ejpam-2508	98	45	lattice	lattice	NOUN
ejpam-2508	98	46	of	of	ADP
ejpam-2508	98	47	q12	q12	PROPN
ejpam-2508	98	48	a.	a.	PROPN
ejpam-2508	98	49	aslan	aslan	PROPN
ejpam-2508	98	50	,	,	PUNCT
ejpam-2508	98	51	a.	a.	PROPN
ejpam-2508	98	52	odabaş	odabaş	PROPN
ejpam-2508	98	53	/	/	SYM
ejpam-2508	98	54	eur	eur	PROPN
ejpam-2508	98	55	.	.	PUNCT
ejpam-2508	99	1	j.	j.	PROPN
ejpam-2508	99	2	pure	pure	PROPN
ejpam-2508	99	3	appl	appl	PROPN
ejpam-2508	99	4	.	.	PROPN
ejpam-2508	99	5	math	math	PROPN
ejpam-2508	99	6	,	,	PUNCT
ejpam-2508	99	7	8	8	NUM
ejpam-2508	99	8	(	(	PUNCT
ejpam-2508	99	9	2015	2015	NUM
ejpam-2508	99	10	)	)	PUNCT
ejpam-2508	99	11	,	,	PUNCT
ejpam-2508	99	12	375	375	NUM
ejpam-2508	99	13	-	-	SYM
ejpam-2508	99	14	388	388	NUM
ejpam-2508	99	15	386	386	NUM
ejpam-2508	99	16	group	group	NOUN
ejpam-2508	99	17	t	t	PROPN
ejpam-2508	99	18	24/12	24/12	NUM
ejpam-2508	99	19	group	group	NOUN
ejpam-2508	99	20	n	n	NUM
ejpam-2508	99	21	s4	s4	NOUN
ejpam-2508	99	22	gap	gap	NOUN
ejpam-2508	99	23	t	t	PROPN
ejpam-2508	99	24	24/15	24/15	NUM
ejpam-2508	99	25	gap	gap	NOUN
ejpam-2508	99	26	n	n	PRON
ejpam-2508	99	27	s24	s24	NOUN
ejpam-2508	99	28	deg	deg	PROPN
ejpam-2508	99	29	.	.	PUNCT
ejpam-2508	100	1	24	24	NUM
ejpam-2508	100	2	ab	ab	PROPN
ejpam-2508	100	3	.	.	PUNCT
ejpam-2508	100	4	not	not	PART
ejpam-2508	100	5	abelian	abelian	ADJ
ejpam-2508	100	6	ns	ns	NUM
ejpam-2508	100	7	34	34	NUM
ejpam-2508	100	8	nns	nns	NOUN
ejpam-2508	100	9	9	9	NUM
ejpam-2508	100	10	fig	fig	NOUN
ejpam-2508	100	11	(	(	PUNCT
ejpam-2508	100	12	4,6)(5,7	4,6)(5,7	NUM
ejpam-2508	100	13	)	)	PUNCT
ejpam-2508	100	14	,	,	PUNCT
ejpam-2508	100	15	(	(	PUNCT
ejpam-2508	100	16	4,7,6,5	4,7,6,5	NUM
ejpam-2508	100	17	)	)	PUNCT
ejpam-2508	100	18	,	,	PUNCT
ejpam-2508	100	19	(	(	PUNCT
ejpam-2508	100	20	1,2,3	1,2,3	X
ejpam-2508	100	21	)	)	PUNCT
ejpam-2508	100	22	frg	frg	NOUN
ejpam-2508	100	23	(	(	PUNCT
ejpam-2508	100	24	4,6)(5,7	4,6)(5,7	PROPN
ejpam-2508	100	25	)	)	PUNCT
ejpam-2508	100	26	gen	gen	PROPN
ejpam-2508	100	27	.	.	PROPN
ejpam-2508	100	28	(	(	PUNCT
ejpam-2508	100	29	1,2,3)(4,5,6,7	1,2,3)(4,5,6,7	NOUN
ejpam-2508	100	30	)	)	PUNCT
ejpam-2508	100	31	,	,	PUNCT
ejpam-2508	100	32	(	(	PUNCT
ejpam-2508	100	33	2,3)(4,7)(5,6	2,3)(4,7)(5,6	NUM
ejpam-2508	100	34	)	)	PUNCT
ejpam-2508	100	35	table	table	NOUN
ejpam-2508	100	36	12	12	NUM
ejpam-2508	100	37	:	:	PUNCT
ejpam-2508	100	38	table	table	NOUN
ejpam-2508	100	39	of	of	ADP
ejpam-2508	100	40	s4	s4	PROPN
ejpam-2508	100	41	figure	figure	NOUN
ejpam-2508	100	42	12	12	NUM
ejpam-2508	100	43	:	:	PUNCT
ejpam-2508	100	44	subgroup	subgroup	PROPN
ejpam-2508	100	45	lattice	lattice	NOUN
ejpam-2508	100	46	of	of	ADP
ejpam-2508	100	47	s4	s4	PROPN
ejpam-2508	100	48	group	group	PROPN
ejpam-2508	100	49	t	t	PROPN
ejpam-2508	100	50	24/13	24/13	NUM
ejpam-2508	100	51	group	group	NOUN
ejpam-2508	100	52	n	n	CCONJ
ejpam-2508	100	53	sl2(f3	sl2(f3	NOUN
ejpam-2508	100	54	)	)	PUNCT
ejpam-2508	100	55	gap	gap	NOUN
ejpam-2508	100	56	t	t	NOUN
ejpam-2508	100	57	24/14	24/14	NUM
ejpam-2508	100	58	gap	gap	NOUN
ejpam-2508	100	59	n	n	PRON
ejpam-2508	100	60	sl(2,3	sl(2,3	NOUN
ejpam-2508	100	61	)	)	PUNCT
ejpam-2508	100	62	deg	deg	NOUN
ejpam-2508	100	63	.	.	PUNCT
ejpam-2508	101	1	24	24	NUM
ejpam-2508	101	2	ab	ab	PROPN
ejpam-2508	101	3	.	.	PUNCT
ejpam-2508	101	4	not	not	PART
ejpam-2508	101	5	abelian	abelian	ADJ
ejpam-2508	101	6	ns	ns	NUM
ejpam-2508	101	7	15	15	NUM
ejpam-2508	101	8	nns	nns	NOUN
ejpam-2508	101	9	4	4	NUM
ejpam-2508	101	10	fig	fig	NOUN
ejpam-2508	101	11	(	(	PUNCT
ejpam-2508	101	12	1,3)(2,4)(5,7)(6,8	1,3)(2,4)(5,7)(6,8	NUM
ejpam-2508	101	13	)	)	PUNCT
ejpam-2508	101	14	,	,	PUNCT
ejpam-2508	101	15	(	(	PUNCT
ejpam-2508	101	16	1,4,3,2	1,4,3,2	NUM
ejpam-2508	101	17	)	)	PUNCT
ejpam-2508	101	18	(	(	PUNCT
ejpam-2508	101	19	5,6,7,8	5,6,7,8	NUM
ejpam-2508	101	20	)	)	PUNCT
ejpam-2508	101	21	,	,	PUNCT
ejpam-2508	101	22	(	(	PUNCT
ejpam-2508	101	23	1,8,3,6)(2,5,4,7	1,8,3,6)(2,5,4,7	NUM
ejpam-2508	101	24	)	)	PUNCT
ejpam-2508	101	25	frg	frg	PROPN
ejpam-2508	101	26	(	(	PUNCT
ejpam-2508	101	27	1,3)(2,4)(5,7)(6,8	1,3)(2,4)(5,7)(6,8	NUM
ejpam-2508	101	28	)	)	PUNCT
ejpam-2508	101	29	gen	gen	PROPN
ejpam-2508	101	30	.	.	PROPN
ejpam-2508	102	1	(	(	PUNCT
ejpam-2508	102	2	1,2,3,4)(5,8,7,6	1,2,3,4)(5,8,7,6	NUM
ejpam-2508	102	3	)	)	PUNCT
ejpam-2508	102	4	,	,	PUNCT
ejpam-2508	102	5	(	(	PUNCT
ejpam-2508	102	6	1,5,3,7)(2,6,4,8	1,5,3,7)(2,6,4,8	NUM
ejpam-2508	102	7	)	)	PUNCT
ejpam-2508	102	8	,	,	PUNCT
ejpam-2508	102	9	(	(	PUNCT
ejpam-2508	102	10	2,5,6)(4,7,8)(9,10,11	2,5,6)(4,7,8)(9,10,11	NUM
ejpam-2508	102	11	)	)	PUNCT
ejpam-2508	102	12	table	table	NOUN
ejpam-2508	102	13	13	13	NUM
ejpam-2508	102	14	:	:	PUNCT
ejpam-2508	102	15	table	table	NOUN
ejpam-2508	102	16	of	of	ADP
ejpam-2508	102	17	sl2(f3	sl2(f3	X
ejpam-2508	102	18	)	)	PUNCT
ejpam-2508	102	19	figure	figure	NOUN
ejpam-2508	102	20	13	13	NUM
ejpam-2508	102	21	:	:	PUNCT
ejpam-2508	102	22	subgroup	subgroup	NOUN
ejpam-2508	102	23	lattice	lattice	NOUN
ejpam-2508	102	24	of	of	ADP
ejpam-2508	102	25	sl2(f3	sl2(f3	X
ejpam-2508	102	26	)	)	PUNCT
ejpam-2508	102	27	a.	a.	NOUN
ejpam-2508	102	28	aslan	aslan	PROPN
ejpam-2508	102	29	,	,	PUNCT
ejpam-2508	102	30	a.	a.	PROPN
ejpam-2508	102	31	odabaş	odabaş	PROPN
ejpam-2508	102	32	/	/	SYM
ejpam-2508	102	33	eur	eur	PROPN
ejpam-2508	102	34	.	.	PUNCT
ejpam-2508	103	1	j.	j.	PROPN
ejpam-2508	103	2	pure	pure	PROPN
ejpam-2508	103	3	appl	appl	PROPN
ejpam-2508	103	4	.	.	PROPN
ejpam-2508	103	5	math	math	PROPN
ejpam-2508	103	6	,	,	PUNCT
ejpam-2508	103	7	8	8	NUM
ejpam-2508	103	8	(	(	PUNCT
ejpam-2508	103	9	2015	2015	NUM
ejpam-2508	103	10	)	)	PUNCT
ejpam-2508	103	11	,	,	PUNCT
ejpam-2508	103	12	375	375	NUM
ejpam-2508	103	13	-	-	SYM
ejpam-2508	103	14	388	388	NUM
ejpam-2508	103	15	387	387	NUM
ejpam-2508	103	16	group	group	NOUN
ejpam-2508	103	17	t	t	PROPN
ejpam-2508	103	18	24/14	24/14	NUM
ejpam-2508	103	19	group	group	NOUN
ejpam-2508	104	1	n	n	PROPN
ejpam-2508	104	2	c3	c3	PROPN
ejpam-2508	104	3	×	×	PROPN
ejpam-2508	104	4	c8	c8	PROPN
ejpam-2508	104	5	gap	gap	NOUN
ejpam-2508	104	6	t	t	PROPN
ejpam-2508	104	7	24/9	24/9	NUM
ejpam-2508	104	8	gap	gap	NOUN
ejpam-2508	104	9	n	n	PRON
ejpam-2508	104	10	c3×	c3×	VERB
ejpam-2508	104	11	c8	c8	PROPN
ejpam-2508	104	12	deg	deg	PROPN
ejpam-2508	104	13	.	.	PROPN
ejpam-2508	105	1	24	24	NUM
ejpam-2508	105	2	ab	ab	PROPN
ejpam-2508	105	3	.	.	PUNCT
ejpam-2508	105	4	not	not	PART
ejpam-2508	105	5	abelian	abelian	ADJ
ejpam-2508	105	6	ns	ns	NUM
ejpam-2508	105	7	10	10	NUM
ejpam-2508	105	8	nns	nns	PROPN
ejpam-2508	105	9	7	7	NUM
ejpam-2508	105	10	fig	fig	NOUN
ejpam-2508	105	11	(	(	PUNCT
ejpam-2508	105	12	4,6,8,10)(5,7,9,11	4,6,8,10)(5,7,9,11	NOUN
ejpam-2508	105	13	)	)	PUNCT
ejpam-2508	105	14	,	,	PUNCT
ejpam-2508	105	15	(	(	PUNCT
ejpam-2508	105	16	4,8)(5,9	4,8)(5,9	NOUN
ejpam-2508	105	17	)	)	PUNCT
ejpam-2508	105	18	(	(	PUNCT
ejpam-2508	105	19	6,10)(7,11	6,10)(7,11	NUM
ejpam-2508	105	20	)	)	PUNCT
ejpam-2508	105	21	,	,	PUNCT
ejpam-2508	105	22	(	(	PUNCT
ejpam-2508	105	23	1,2,3	1,2,3	X
ejpam-2508	105	24	)	)	PUNCT
ejpam-2508	105	25	frg	frg	NOUN
ejpam-2508	105	26	(	(	PUNCT
ejpam-2508	105	27	4,6,8,10)(5,7,9,11	4,6,8,10)(5,7,9,11	NOUN
ejpam-2508	105	28	)	)	PUNCT
ejpam-2508	105	29	,	,	PUNCT
ejpam-2508	105	30	(	(	PUNCT
ejpam-2508	105	31	4,8)(5,9	4,8)(5,9	NOUN
ejpam-2508	105	32	)	)	PUNCT
ejpam-2508	105	33	(	(	PUNCT
ejpam-2508	105	34	6,10)(7,11	6,10)(7,11	NUM
ejpam-2508	105	35	)	)	PUNCT
ejpam-2508	105	36	gen	gen	PROPN
ejpam-2508	105	37	.	.	PROPN
ejpam-2508	106	1	(	(	PUNCT
ejpam-2508	106	2	1,2,3	1,2,3	NUM
ejpam-2508	106	3	)	)	PUNCT
ejpam-2508	106	4	,	,	PUNCT
ejpam-2508	106	5	(	(	PUNCT
ejpam-2508	106	6	2,3)(4,5,6,7,8,9,10,11	2,3)(4,5,6,7,8,9,10,11	X
ejpam-2508	106	7	)	)	PUNCT
ejpam-2508	106	8	table	table	NOUN
ejpam-2508	106	9	14	14	NUM
ejpam-2508	106	10	:	:	PUNCT
ejpam-2508	106	11	table	table	NOUN
ejpam-2508	106	12	of	of	ADP
ejpam-2508	106	13	c3	c3	PROPN
ejpam-2508	106	14	×	×	PROPN
ejpam-2508	106	15	c8	c8	PROPN
ejpam-2508	106	16	figure	figure	NOUN
ejpam-2508	106	17	14	14	NUM
ejpam-2508	106	18	:	:	PUNCT
ejpam-2508	106	19	subgroup	subgroup	PROPN
ejpam-2508	106	20	lattice	lattice	NOUN
ejpam-2508	106	21	of	of	ADP
ejpam-2508	106	22	c3	c3	PROPN
ejpam-2508	106	23	×	×	PROPN
ejpam-2508	106	24	c8	c8	PROPN
ejpam-2508	106	25	group	group	PROPN
ejpam-2508	106	26	t	t	PROPN
ejpam-2508	106	27	24/15	24/15	NUM
ejpam-2508	106	28	group	group	NOUN
ejpam-2508	107	1	n	n	CCONJ
ejpam-2508	107	2	d8	d8	PROPN
ejpam-2508	107	3	×	×	PROPN
ejpam-2508	107	4	c3	c3	NOUN
ejpam-2508	107	5	gap	gap	NOUN
ejpam-2508	107	6	t	t	PROPN
ejpam-2508	107	7	24/11	24/11	NUM
ejpam-2508	107	8	gap	gap	NOUN
ejpam-2508	107	9	n	n	NOUN
ejpam-2508	107	10	d8×	d8×	VERB
ejpam-2508	107	11	c3	c3	PROPN
ejpam-2508	107	12	deg	deg	PROPN
ejpam-2508	107	13	.	.	PROPN
ejpam-2508	108	1	24	24	NUM
ejpam-2508	108	2	ab	ab	PROPN
ejpam-2508	108	3	.	.	PUNCT
ejpam-2508	108	4	not	not	PART
ejpam-2508	108	5	abelian	abelian	ADJ
ejpam-2508	108	6	ns	ns	NUM
ejpam-2508	108	7	30	30	NUM
ejpam-2508	108	8	nns	nns	NOUN
ejpam-2508	108	9	9	9	NUM
ejpam-2508	108	10	fig	fig	NOUN
ejpam-2508	108	11	(	(	PUNCT
ejpam-2508	108	12	5,6,7	5,6,7	NOUN
ejpam-2508	108	13	)	)	PUNCT
ejpam-2508	108	14	,	,	PUNCT
ejpam-2508	108	15	(	(	PUNCT
ejpam-2508	108	16	2,4	2,4	NUM
ejpam-2508	108	17	)	)	PUNCT
ejpam-2508	108	18	,	,	PUNCT
ejpam-2508	108	19	(	(	PUNCT
ejpam-2508	108	20	1,3)(2,4	1,3)(2,4	NUM
ejpam-2508	108	21	)	)	PUNCT
ejpam-2508	108	22	frg	frg	PROPN
ejpam-2508	108	23	(	(	PUNCT
ejpam-2508	108	24	1,3)(2,4	1,3)(2,4	NUM
ejpam-2508	108	25	)	)	PUNCT
ejpam-2508	108	26	gen	gen	PROPN
ejpam-2508	108	27	.	.	PROPN
ejpam-2508	108	28	(	(	PUNCT
ejpam-2508	108	29	5,6,7	5,6,7	NOUN
ejpam-2508	108	30	)	)	PUNCT
ejpam-2508	108	31	,	,	PUNCT
ejpam-2508	108	32	(	(	PUNCT
ejpam-2508	108	33	1,2,3,4)(6,7	1,2,3,4)(6,7	NUM
ejpam-2508	108	34	)	)	PUNCT
ejpam-2508	108	35	,	,	PUNCT
ejpam-2508	108	36	(	(	PUNCT
ejpam-2508	108	37	2,4	2,4	X
ejpam-2508	108	38	)	)	PUNCT
ejpam-2508	108	39	table	table	NOUN
ejpam-2508	108	40	15	15	NUM
ejpam-2508	108	41	:	:	PUNCT
ejpam-2508	108	42	table	table	NOUN
ejpam-2508	108	43	of	of	ADP
ejpam-2508	108	44	d8	d8	PROPN
ejpam-2508	108	45	×	×	PROPN
ejpam-2508	108	46	c3	c3	PROPN
ejpam-2508	108	47	figure	figure	NOUN
ejpam-2508	108	48	15	15	NUM
ejpam-2508	108	49	:	:	PUNCT
ejpam-2508	108	50	subgroup	subgroup	NOUN
ejpam-2508	108	51	lattice	lattice	NOUN
ejpam-2508	108	52	of	of	ADP
ejpam-2508	108	53	d8	d8	PROPN
ejpam-2508	108	54	×	×	PROPN
ejpam-2508	108	55	c3	c3	PROPN
ejpam-2508	108	56	references	reference	VERB
ejpam-2508	108	57	388	388	NUM
ejpam-2508	108	58	references	reference	NOUN
ejpam-2508	108	59	[	[	X
ejpam-2508	108	60	1	1	X
ejpam-2508	108	61	]	]	PUNCT
ejpam-2508	108	62	the	the	DET
ejpam-2508	108	63	gap	gap	NOUN
ejpam-2508	108	64	group	group	NOUN
ejpam-2508	108	65	.	.	PUNCT
ejpam-2508	109	1	groups	group	NOUN
ejpam-2508	109	2	,	,	PUNCT
ejpam-2508	109	3	algorithms	algorithm	NOUN
ejpam-2508	109	4	,	,	PUNCT
ejpam-2508	109	5	and	and	CCONJ
ejpam-2508	109	6	programming	programming	NOUN
ejpam-2508	109	7	.	.	PUNCT
ejpam-2508	110	1	u.	u.	PROPN
ejpam-2508	110	2	st	st	PROPN
ejpam-2508	110	3	.	.	PROPN
ejpam-2508	110	4	andrews	andrews	PROPN
ejpam-2508	110	5	,	,	PUNCT
ejpam-2508	110	6	scotland	scotland	PROPN
ejpam-2508	110	7	.	.	PUNCT
ejpam-2508	111	1	(	(	PUNCT
ejpam-2508	111	2	1997	1997	NUM
ejpam-2508	111	3	)	)	PUNCT
ejpam-2508	111	4	.	.	PUNCT
ejpam-2508	112	1	[	[	X
ejpam-2508	112	2	2	2	NUM
ejpam-2508	112	3	]	]	PUNCT
ejpam-2508	112	4	i.	i.	PROPN
ejpam-2508	112	5	m.	m.	PROPN
ejpam-2508	112	6	isaacs	isaacs	PROPN
ejpam-2508	112	7	.	.	PUNCT
ejpam-2508	113	1	group	group	PROPN
ejpam-2508	113	2	theory	theory	NOUN
ejpam-2508	113	3	notes	note	VERB
ejpam-2508	113	4	.	.	PUNCT
ejpam-2508	114	1	university	university	PROPN
ejpam-2508	114	2	of	of	ADP
ejpam-2508	114	3	wisconsin	wisconsin	PROPN
ejpam-2508	114	4	madison	madison	PROPN
ejpam-2508	114	5	.	.	PUNCT
ejpam-2508	115	1	(	(	PUNCT
ejpam-2508	115	2	2002	2002	NUM
ejpam-2508	115	3	)	)	PUNCT
ejpam-2508	115	4	.	.	PUNCT
ejpam-2508	116	1	[	[	X
ejpam-2508	116	2	3	3	NUM
ejpam-2508	116	3	]	]	PUNCT
ejpam-2508	116	4	a.	a.	NOUN
ejpam-2508	116	5	odabas	odabas	PROPN
ejpam-2508	116	6	.	.	PUNCT
ejpam-2508	117	1	abstract	abstract	ADJ
ejpam-2508	117	2	algebra	algebra	PROPN
ejpam-2508	117	3	and	and	CCONJ
ejpam-2508	117	4	numbers	number	NOUN
ejpam-2508	117	5	theory	theory	NOUN
ejpam-2508	117	6	with	with	ADP
ejpam-2508	117	7	gap	gap	NOUN
ejpam-2508	117	8	.	.	PUNCT
ejpam-2508	118	1	masters	master	NOUN
ejpam-2508	118	2	thesis	thesis	NOUN
ejpam-2508	118	3	,	,	PUNCT
ejpam-2508	118	4	dumlupinar	dumlupinar	PROPN
ejpam-2508	118	5	university	university	NOUN
ejpam-2508	118	6	.	.	PUNCT
ejpam-2508	119	1	p.	p.	NOUN
ejpam-2508	119	2	254	254	NUM
ejpam-2508	119	3	.	.	PUNCT
ejpam-2508	120	1	(	(	PUNCT
ejpam-2508	120	2	2004	2004	NUM
ejpam-2508	120	3	)	)	PUNCT
ejpam-2508	120	4	.	.	PUNCT
ejpam-2508	121	1	[	[	X
ejpam-2508	121	2	4	4	X
ejpam-2508	121	3	]	]	X
ejpam-2508	121	4	h.	h.	PROPN
ejpam-2508	121	5	e.	e.	PROPN
ejpam-2508	121	6	rose	rise	VERB
ejpam-2508	121	7	.	.	PUNCT
ejpam-2508	122	1	a	a	DET
ejpam-2508	122	2	course	course	NOUN
ejpam-2508	122	3	on	on	ADP
ejpam-2508	122	4	finite	finite	ADJ
ejpam-2508	122	5	groups	group	NOUN
ejpam-2508	122	6	.	.	PUNCT
ejpam-2508	123	1	springer	springer	NOUN
ejpam-2508	123	2	,	,	PUNCT
ejpam-2508	123	3	(	(	PUNCT
ejpam-2508	123	4	2000	2000	NUM
ejpam-2508	123	5	)	)	PUNCT
ejpam-2508	123	6	.	.	PUNCT
ejpam-2508	124	1	[	[	X
ejpam-2508	124	2	5	5	NUM
ejpam-2508	124	3	]	]	PUNCT
ejpam-2508	124	4	a.	a.	PROPN
ejpam-2508	124	5	d.	d.	PROPN
ejpam-2508	124	6	thomas	thomas	PROPN
ejpam-2508	124	7	and	and	CCONJ
ejpam-2508	124	8	g.	g.	PROPN
ejpam-2508	124	9	wood	wood	PROPN
ejpam-2508	124	10	.	.	PUNCT
ejpam-2508	125	1	group	group	NOUN
ejpam-2508	125	2	tables	table	NOUN
ejpam-2508	125	3	.	.	PUNCT
ejpam-2508	126	1	birkhäuser	birkhäuser	PROPN
ejpam-2508	126	2	,	,	PUNCT
ejpam-2508	126	3	boston	boston	PROPN
ejpam-2508	126	4	,	,	PUNCT
ejpam-2508	126	5	p.	p.	NOUN
ejpam-2508	126	6	248	248	NUM
ejpam-2508	126	7	.	.	PUNCT
ejpam-2508	127	1	(	(	PUNCT
ejpam-2508	127	2	1980	1980	NUM
ejpam-2508	127	3	)	)	PUNCT
ejpam-2508	127	4	.	.	PUNCT