id	sid	eid	entity	type
ejpam-5120	1	1	european journal	ORG
ejpam-5120	2	1	17	CARDINAL
ejpam-5120	2	2	2	CARDINAL
ejpam-5120	2	3	2024	DATE
ejpam-5120	2	4	810	CARDINAL
ejpam-5120	3	1	new york	GPE
ejpam-5120	3	2	n. alsowait1	PERSON
ejpam-5120	3	3	a. a. heliel2,3,∗	PERSON
ejpam-5120	3	4	m. m. al-shomrani2	PERSON
ejpam-5120	3	5	a. s. allehyani2	PERSON
ejpam-5120	4	1	1	CARDINAL
ejpam-5120	4	2	saudi arabia	GPE
ejpam-5120	4	3	2	CARDINAL
ejpam-5120	4	4	abdulaziz university	PERSON
ejpam-5120	4	5	jeddah	GPE
ejpam-5120	4	6	saudi arabia	GPE
ejpam-5120	4	7	3	CARDINAL
ejpam-5120	4	8	egypt	GPE
ejpam-5120	7	1	2	CARDINAL
ejpam-5120	9	1	2020	DATE
ejpam-5120	9	2	20d10	CARDINAL
ejpam-5120	10	1	1	CARDINAL
ejpam-5120	12	1	kegel	PERSON
ejpam-5120	12	2	8	CARDINAL
ejpam-5120	13	1	1996	DATE
ejpam-5120	13	2	wang	PERSON
ejpam-5120	13	3	10	CARDINAL
ejpam-5120	14	1	g = hk	ORG
ejpam-5120	14	2	k ⩽ hg	ORG
ejpam-5120	15	1	g = hk	ORG
ejpam-5120	16	1	aahsalem1@kau.edu.sa (a. a. heliel	ORG
ejpam-5120	16	2	m. m. al-shomrani	PERSON
ejpam-5120	16	3	asaeedallehyani@stu.kau.edu.sa (a. s. allehyani	ORG
ejpam-5120	16	4	810	CARDINAL
ejpam-5120	17	1	2024	CARDINAL
ejpam-5120	18	1	a. a. heliel et al	PERSON
ejpam-5120	19	1	j. pure	PERSON
ejpam-5120	19	2	17	CARDINAL
ejpam-5120	19	3	2	CARDINAL
ejpam-5120	19	4	2024	CARDINAL
ejpam-5120	19	5	810	CARDINAL
ejpam-5120	19	6	1	CARDINAL
ejpam-5120	21	1	gaschütz	PERSON
ejpam-5120	21	2	7	CARDINAL
ejpam-5120	21	3	5.7	CARDINAL
ejpam-5120	21	4	436	CARDINAL
ejpam-5120	22	1	4	CARDINAL
ejpam-5120	22	2	2015	DATE
ejpam-5120	23	1	5	CARDINAL
ejpam-5120	25	1	two	CARDINAL
ejpam-5120	26	1	2019	DATE
ejpam-5120	26	2	6	CARDINAL
ejpam-5120	28	1	9	CARDINAL
ejpam-5120	28	2	skiba generalized	ORG
ejpam-5120	32	1	2	CARDINAL
ejpam-5120	33	1	1	CARDINAL
ejpam-5120	34	1	6	CARDINAL
ejpam-5120	34	2	2	CARDINAL
ejpam-5120	36	1	2	CARDINAL
ejpam-5120	37	1	9	CARDINAL
ejpam-5120	37	2	1.4	CARDINAL
ejpam-5120	38	1	2|d|	CARDINAL
ejpam-5120	38	2	non-abelian	NORP
ejpam-5120	38	3	2	CARDINAL
ejpam-5120	38	4	3	CARDINAL
ejpam-5120	39	1	2	CARDINAL
ejpam-5120	39	2	10.6	CARDINAL
ejpam-5120	39	3	36	CARDINAL
ejpam-5120	42	1	a. a. heliel et al	PERSON
ejpam-5120	43	1	j. pure	PERSON
ejpam-5120	43	2	17	CARDINAL
ejpam-5120	43	3	2	CARDINAL
ejpam-5120	43	4	2024	CARDINAL
ejpam-5120	43	5	810	CARDINAL
ejpam-5120	43	6	abelian	NORP
ejpam-5120	43	7	n ≤ z(f	ORG
ejpam-5120	44	1	4	CARDINAL
ejpam-5120	45	1	9	CARDINAL
ejpam-5120	45	2	2.20	CARDINAL
ejpam-5120	48	1	5	CARDINAL
ejpam-5120	49	1	9	CARDINAL
ejpam-5120	49	2	2.10	CARDINAL
ejpam-5120	50	1	k/h	ORG
ejpam-5120	51	1	k.	PERSON
ejpam-5120	52	1	1	CARDINAL
ejpam-5120	54	1	6	CARDINAL
ejpam-5120	55	1	11	CARDINAL
ejpam-5120	55	2	2.3	CARDINAL
ejpam-5120	55	3	214	CARDINAL
ejpam-5120	55	4	1	CARDINAL
ejpam-5120	55	5	abelian	NORP
ejpam-5120	55	6	g. lemma 7	PERSON
ejpam-5120	56	1	9	CARDINAL
ejpam-5120	56	2	2.11	CARDINAL
ejpam-5120	56	3	abelian	NORP
ejpam-5120	58	1	g. lemma 8	PERSON
ejpam-5120	59	1	3	CARDINAL
ejpam-5120	59	2	3.2	CARDINAL
ejpam-5120	59	3	228	CARDINAL
ejpam-5120	59	4	1	CARDINAL
ejpam-5120	60	1	⊆	CARDINAL
ejpam-5120	61	1	3	CARDINAL
ejpam-5120	61	2	first	ORDINAL
ejpam-5120	61	3	1	CARDINAL
ejpam-5120	64	1	|g|	GPE
ejpam-5120	65	1	lemma 1.	ORG
ejpam-5120	67	1	g = hk	ORG
ejpam-5120	67	2	k ∩h ≤	FAC
ejpam-5120	68	1	1 and so	DATE
ejpam-5120	68	2	a. a. heliel et	PERSON
ejpam-5120	70	1	j. pure	PERSON
ejpam-5120	70	2	17	CARDINAL
ejpam-5120	70	3	2	CARDINAL
ejpam-5120	70	4	2024	CARDINAL
ejpam-5120	70	5	810	CARDINAL
ejpam-5120	71	1	1	CARDINAL
ejpam-5120	71	2	k ◁g	ORG
ejpam-5120	72	1	|g|	GPE
ejpam-5120	72	2	k ′	ORG
ejpam-5120	74	1	|g|	GPE
ejpam-5120	76	1	1.	CARDINAL
ejpam-5120	77	1	k ′ chark ◁g	ORG
ejpam-5120	77	2	k ′ ◁g	ORG
ejpam-5120	78	1	k ′	ORG
ejpam-5120	79	1	1	CARDINAL
ejpam-5120	80	1	thenk	PERSON
ejpam-5120	82	1	abelian	NORP
ejpam-5120	82	2	k/k ′	ORG
ejpam-5120	82	3	abelian	NORP
ejpam-5120	82	4	k ′ = p1	ORG
ejpam-5120	82	5	k/p1 ∼= k1	FAC
ejpam-5120	84	1	p ◁ g	ORG
ejpam-5120	84	2	lemma 2	ORG
ejpam-5120	87	1	1	CARDINAL
ejpam-5120	88	1	1	CARDINAL
ejpam-5120	88	2	3	CARDINAL
ejpam-5120	88	3	1	CARDINAL
ejpam-5120	91	1	6	CARDINAL
ejpam-5120	91	2	|g|	GPE
ejpam-5120	94	1	1	CARDINAL
ejpam-5120	95	1	k∗.	PERSON
ejpam-5120	95	2	l ≨ p1	ORG
ejpam-5120	97	1	1	CARDINAL
ejpam-5120	97	2	1	CARDINAL
ejpam-5120	98	1	l ◁	ORG
ejpam-5120	100	1	2	CARDINAL
ejpam-5120	102	1	1	CARDINAL
ejpam-5120	102	2	|g|	GPE
ejpam-5120	104	1	2	CARDINAL
ejpam-5120	108	1	1	CARDINAL
ejpam-5120	109	1	1	CARDINAL
ejpam-5120	109	2	5	CARDINAL
ejpam-5120	109	3	4	CARDINAL
ejpam-5120	112	1	′ op′	CARDINAL
ejpam-5120	114	1	2	CARDINAL
ejpam-5120	116	1	1	CARDINAL
ejpam-5120	117	1	3	CARDINAL
ejpam-5120	118	1	1	CARDINAL
ejpam-5120	119	1	a. a. heliel et al	PERSON
ejpam-5120	120	1	j. pure	PERSON
ejpam-5120	120	2	17	CARDINAL
ejpam-5120	120	3	2	CARDINAL
ejpam-5120	120	4	2024	CARDINAL
ejpam-5120	120	5	810	CARDINAL
ejpam-5120	120	6	two	CARDINAL
ejpam-5120	120	7	1	CARDINAL
ejpam-5120	122	1	4	CARDINAL
ejpam-5120	123	1	3	CARDINAL
ejpam-5120	124	1	̸=	ORG
ejpam-5120	128	1	1 <	QUANTITY
ejpam-5120	128	2	5	CARDINAL
ejpam-5120	129	1	1	CARDINAL
ejpam-5120	129	2	1	CARDINAL
ejpam-5120	129	3	abelian	NORP
ejpam-5120	132	1	1	CARDINAL
ejpam-5120	135	1	abelian	NORP
ejpam-5120	139	1	5	CARDINAL
ejpam-5120	140	1	1	CARDINAL
ejpam-5120	140	2	4	CARDINAL
ejpam-5120	140	3	6	CARDINAL
ejpam-5120	140	4	abelian	NORP
ejpam-5120	140	5	3	CARDINAL
ejpam-5120	140	6	913	CARDINAL
ejpam-5120	140	7	33	CARDINAL
ejpam-5120	141	1	abelian	NORP
ejpam-5120	142	1	2	CARDINAL
ejpam-5120	142	2	5	CARDINAL
ejpam-5120	145	1	6	CARDINAL
ejpam-5120	147	1	4	CARDINAL
ejpam-5120	148	1	5	CARDINAL
ejpam-5120	151	1	∩φ(g	PERSON
ejpam-5120	152	1	7	CARDINAL
ejpam-5120	152	2	l ≤ φ(g	FAC
ejpam-5120	156	1	2	CARDINAL
ejpam-5120	160	1	5	CARDINAL
ejpam-5120	160	2	7	CARDINAL
ejpam-5120	161	1	a. a. heliel et al	PERSON
ejpam-5120	162	1	j. pure	PERSON
ejpam-5120	162	2	17	CARDINAL
ejpam-5120	162	3	2	CARDINAL
ejpam-5120	162	4	2024	CARDINAL
ejpam-5120	162	5	810-818 815	QUANTITY
ejpam-5120	162	6	g/l. if |l| = |d|	ORG
ejpam-5120	162	7	g/l.	ORG
ejpam-5120	162	8	l ≤ φ(g	FAC
ejpam-5120	163	1	g)/l	PRODUCT
ejpam-5120	163	2	4	CARDINAL
ejpam-5120	166	1	g)/l	PRODUCT
ejpam-5120	167	1	6	CARDINAL
ejpam-5120	168	1	pq	PERSON
ejpam-5120	172	1	|g|	GPE
ejpam-5120	173	1	5	CARDINAL
ejpam-5120	173	2	2.8	CARDINAL
ejpam-5120	173	3	420	CARDINAL
ejpam-5120	176	1	′	CARDINAL
ejpam-5120	178	1	9	CARDINAL
ejpam-5120	178	2	1	CARDINAL
ejpam-5120	181	1	5	CARDINAL
ejpam-5120	181	2	m1.	GPE
ejpam-5120	182	1	′ 1	DATE
ejpam-5120	182	2	1	CARDINAL
ejpam-5120	182	3	1	CARDINAL
ejpam-5120	182	4	1 ≤	QUANTITY
ejpam-5120	187	1	2	CARDINAL
ejpam-5120	188	1	10	CARDINAL
ejpam-5120	188	2	1	CARDINAL
ejpam-5120	189	1	11	CARDINAL
ejpam-5120	189	2	10	CARDINAL
ejpam-5120	189	3	t ∩ l ≤ (	ORG
ejpam-5120	191	1	12	CARDINAL
ejpam-5120	192	1	1	CARDINAL
ejpam-5120	193	1	11	CARDINAL
ejpam-5120	193	2	t ∩ l = 1	ORG
ejpam-5120	194	1	a. a. heliel et al	PERSON
ejpam-5120	195	1	j. pure	PERSON
ejpam-5120	195	2	17	CARDINAL
ejpam-5120	195	3	2	CARDINAL
ejpam-5120	195	4	2024	CARDINAL
ejpam-5120	195	5	810	CARDINAL
ejpam-5120	200	1	1.	CARDINAL
ejpam-5120	202	1	abelian	NORP
ejpam-5120	204	1	shur-zassenhaus	ORG
ejpam-5120	205	1	two	CARDINAL
ejpam-5120	205	2	kegel-wielandt	PERSON
ejpam-5120	206	1	p1 = op(g	PERSON
ejpam-5120	208	1	′ ≤	MONEY
ejpam-5120	213	1	∩ φ(g	PERSON
ejpam-5120	215	1	1	CARDINAL
ejpam-5120	215	2	two	CARDINAL
ejpam-5120	217	1	p1 = op(g	PERSON
ejpam-5120	218	1	2	CARDINAL
ejpam-5120	218	2	14.3	CARDINAL
ejpam-5120	219	1	pq	PERSON
ejpam-5120	221	1	|g|	GPE
ejpam-5120	224	1	k ≤ op′	FAC
ejpam-5120	224	2	1	CARDINAL
ejpam-5120	226	1	p1	PERSON
ejpam-5120	227	1	1	CARDINAL
ejpam-5120	228	1	1	CARDINAL
ejpam-5120	230	1	1	CARDINAL
ejpam-5120	230	2	1	CARDINAL
ejpam-5120	230	3	1	CARDINAL
ejpam-5120	235	1	∩ φ(op(g	PERSON
ejpam-5120	238	1	1 and so	CARDINAL
ejpam-5120	239	1	abelian	NORP
ejpam-5120	241	1	∩ φ(op(g	PERSON
ejpam-5120	247	1	1	CARDINAL
ejpam-5120	248	1	2	CARDINAL
ejpam-5120	250	1	13	CARDINAL
ejpam-5120	250	2	2	CARDINAL
ejpam-5120	251	1	12	CARDINAL
ejpam-5120	256	1	1	CARDINAL
ejpam-5120	256	2	abelian	NORP
ejpam-5120	258	1	∩op(g	PERSON
ejpam-5120	259	1	1	CARDINAL
ejpam-5120	259	2	1	CARDINAL
ejpam-5120	259	3	8	CARDINAL
ejpam-5120	261	1	∩ φ(g	PERSON
ejpam-5120	262	1	1	CARDINAL
ejpam-5120	263	1	1	CARDINAL
ejpam-5120	265	1	817	CARDINAL
ejpam-5120	268	1	1	CARDINAL
ejpam-5120	269	1	1	CARDINAL
ejpam-5120	271	1	1	CARDINAL
ejpam-5120	276	1	1	CARDINAL
ejpam-5120	280	1	∩ φ(g	PERSON
ejpam-5120	282	1	1	CARDINAL
ejpam-5120	283	1	∩	PERSON
ejpam-5120	283	2	1	CARDINAL
ejpam-5120	287	1	φ(p	PERSON
ejpam-5120	288	1	∩	PERSON
ejpam-5120	288	2	φ(p	PERSON
ejpam-5120	289	1	∩ s	WORK_OF_ART
ejpam-5120	289	2	φ(p	PERSON
ejpam-5120	290	1	t ≤	DATE
ejpam-5120	292	1	t ≤	DATE
ejpam-5120	292	2	∩op(g	ORG
ejpam-5120	293	1	∩op(g	GPE
ejpam-5120	293	2	g. hence v ∩	PERSON
ejpam-5120	293	3	1	CARDINAL
ejpam-5120	294	1	g/cg(op(g	ORG
ejpam-5120	294	2	abelian	NORP
ejpam-5120	295	1	∩	PERSON
ejpam-5120	297	1	∩	PERSON
ejpam-5120	300	1	abelian	NORP
ejpam-5120	300	2	1	CARDINAL
ejpam-5120	301	1	g. hence op(g	GPE
ejpam-5120	302	1	1	CARDINAL
ejpam-5120	304	1	2	CARDINAL
ejpam-5120	305	1	2	CARDINAL
ejpam-5120	306	1	5	CARDINAL
ejpam-5120	308	1	3	CARDINAL
ejpam-5120	309	1	6	CARDINAL
ejpam-5120	309	2	1	CARDINAL
ejpam-5120	309	3	2	CARDINAL
ejpam-5120	312	1	dsr	ORG
ejpam-5120	312	2	northern border university	ORG
ejpam-5120	312	3	ksa	GPE
ejpam-5120	314	1	1	CARDINAL
ejpam-5120	314	2	a. ballester-bolinches	PERSON
ejpam-5120	314	3	y. wang	PERSON
ejpam-5120	314	4	x. guo	PERSON
ejpam-5120	316	1	glasgow	GPE
ejpam-5120	317	1	j.	PERSON
ejpam-5120	317	2	42:383–389	CARDINAL
ejpam-5120	317	3	2000	DATE
ejpam-5120	318	1	818	CARDINAL
ejpam-5120	318	2	2	CARDINAL
ejpam-5120	318	3	k. doerk	PERSON
ejpam-5120	318	4	t. hawkes	ORG
ejpam-5120	320	1	walter de gruyter	PERSON
ejpam-5120	320	2	1992	DATE
ejpam-5120	321	1	3	CARDINAL
ejpam-5120	323	1	ams chelsea publishing	ORG
ejpam-5120	323	2	1980	DATE
ejpam-5120	324	1	4	CARDINAL
ejpam-5120	324	2	a. a. heliel	PERSON
ejpam-5120	327	1	42:1650–1656	CARDINAL
ejpam-5120	327	2	2014	DATE
ejpam-5120	328	1	5	CARDINAL
ejpam-5120	328	2	r. a. hijazi	PERSON
ejpam-5120	330	1	10, 2015	DATE
ejpam-5120	331	1	6	CARDINAL
ejpam-5120	331	2	r. a. hijazi	PERSON
ejpam-5120	331	3	f. m. charaf	PERSON
ejpam-5120	333	1	12:571–576	DATE
ejpam-5120	333	2	2019	DATE
ejpam-5120	334	1	7	CARDINAL
ejpam-5120	334	2	b. huppert	PERSON
ejpam-5120	335	1	i. springer	PERSON
ejpam-5120	335	2	berlin	GPE
ejpam-5120	335	3	new york	GPE
ejpam-5120	335	4	1979	DATE
ejpam-5120	336	1	8	CARDINAL
ejpam-5120	336	2	o. h. kegel	PERSON
ejpam-5120	339	1	z.	PERSON
ejpam-5120	339	2	78:205	LANGUAGE
ejpam-5120	339	3	221, 1962	DATE
ejpam-5120	340	1	9	CARDINAL
ejpam-5120	340	2	a. n. skiba	PERSON
ejpam-5120	342	1	j. algebra	PERSON
ejpam-5120	342	2	315:192	CARDINAL
ejpam-5120	342	3	209	CARDINAL
ejpam-5120	342	4	2007	DATE
ejpam-5120	343	1	10	CARDINAL
ejpam-5120	343	2	y. wang	PERSON
ejpam-5120	345	1	j. algebra	PERSON
ejpam-5120	345	2	180:954–965, 1996	DATE
ejpam-5120	346	1	11	CARDINAL
ejpam-5120	346	2	m. weinstein	PERSON
ejpam-5120	348	1	polygonal publishing house	ORG
ejpam-5120	348	2	passaic	GPE
ejpam-5120	348	3	nj	GPE
ejpam-5120	348	4	1982	DATE