id	sid	eid	entity	type
ejpam-5993	1	1	european journal	ORG
ejpam-5993	1	2	2025	DATE
ejpam-5993	1	3	18	CARDINAL
ejpam-5993	1	4	2	CARDINAL
ejpam-5993	1	5	5993	CARDINAL
ejpam-5993	1	6	1307-5543	DATE
ejpam-5993	1	7	new york	GPE
ejpam-5993	1	8	1	CARDINAL
ejpam-5993	1	9	s. allehyani3	ORG
ejpam-5993	2	1	abdulaziz university	PERSON
ejpam-5993	2	2	arabia5 6	PERSON
ejpam-5993	4	1	2020	DATE
ejpam-5993	4	2	20d10	CARDINAL
ejpam-5993	4	3	formations9	ORG
ejpam-5993	4	4	10 1	DATE
ejpam-5993	4	5	introduction11	GPE
ejpam-5993	4	6	g always12	ORG
ejpam-5993	5	1	said14	GPE
ejpam-5993	5	2	of15	PRODUCT
ejpam-5993	5	3	kegel	PERSON
ejpam-5993	6	1	1]16	CARDINAL
ejpam-5993	6	2	1962.17 18	DATE
ejpam-5993	6	3	wang	PERSON
ejpam-5993	7	1	2	CARDINAL
ejpam-5993	7	2	1996	DATE
ejpam-5993	7	3	k ⩽ hg	ORG
ejpam-5993	8	1	g	PERSON
ejpam-5993	8	2	normal21	GPE
ejpam-5993	8	3	2000	DATE
ejpam-5993	8	4	by22 bianchi et al	ORG
ejpam-5993	9	1	3	CARDINAL
ejpam-5993	9	2	if23 hg ∩ng(h	PRODUCT
ejpam-5993	9	3	wei	PERSON
ejpam-5993	10	1	4	CARDINAL
ejpam-5993	10	2	2012	DATE
ejpam-5993	10	3	to26	PRODUCT
ejpam-5993	11	1	asaeedallehyani@stu.kau.edu.sa	PERSON
ejpam-5993	11	2	a. s. allehyani	PERSON
ejpam-5993	12	1	1	CARDINAL
ejpam-5993	12	2	2025	CARDINAL
ejpam-5993	13	1	a. s. allehyani	PERSON
ejpam-5993	14	1	j. pure	PERSON
ejpam-5993	14	2	18	CARDINAL
ejpam-5993	14	3	2	CARDINAL
ejpam-5993	14	4	2025	CARDINAL
ejpam-5993	14	5	5993 2	DATE
ejpam-5993	14	6	hg ∩	ORG
ejpam-5993	14	7	normal29	ORG
ejpam-5993	14	8	g = hk	ORG
ejpam-5993	15	1	hg ∩	ORG
ejpam-5993	15	2	30	CARDINAL
ejpam-5993	15	3	4	CARDINAL
ejpam-5993	15	4	1	CARDINAL
ejpam-5993	16	1	every32	GPE
ejpam-5993	16	2	4,33	CARDINAL
ejpam-5993	17	1	2]).34 35	CARDINAL
ejpam-5993	17	2	2016	DATE
ejpam-5993	18	1	5	CARDINAL
ejpam-5993	18	2	sub-36	ORG
ejpam-5993	18	3	be37	ORG
ejpam-5993	18	4	hk38	PRODUCT
ejpam-5993	18	5	hg ∩	ORG
ejpam-5993	19	1	hg =	ORG
ejpam-5993	19	2	2018	DATE
ejpam-5993	19	3	al-gafri	PERSON
ejpam-5993	20	1	6	CARDINAL
ejpam-5993	20	2	hg ∩	ORG
ejpam-5993	21	1	g.48	PERSON
ejpam-5993	22	1	∈	PRODUCT
ejpam-5993	22	2	6	CARDINAL
ejpam-5993	22	3	so,50	PERSON
ejpam-5993	22	4	∩ ht = h	PERSON
ejpam-5993	22	5	∩	PERSON
ejpam-5993	23	1	∩	PERSON
ejpam-5993	24	1	1	CARDINAL
ejpam-5993	25	1	hg ∩	ORG
ejpam-5993	25	2	52 hg ∩nt	QUANTITY
ejpam-5993	27	1	∈	ORG
ejpam-5993	27	2	6	CARDINAL
ejpam-5993	27	3	55	CARDINAL
ejpam-5993	27	4	men-56	GPE
ejpam-5993	28	1	1980	DATE
ejpam-5993	29	1	2	CARDINAL
ejpam-5993	29	2	8	CARDINAL
ejpam-5993	30	1	in61	CARDINAL
ejpam-5993	30	2	4	CARDINAL
ejpam-5993	30	3	wei	PERSON
ejpam-5993	30	4	guo	PERSON
ejpam-5993	31	1	asaad	PERSON
ejpam-5993	32	1	5	CARDINAL
ejpam-5993	32	2	be64	PRODUCT
ejpam-5993	33	1	is65 p-nilpotent	PERSON
ejpam-5993	33	2	al-gafri	PERSON
ejpam-5993	34	1	6	CARDINAL
ejpam-5993	34	2	group70 a. s. allehyani / eur	PERSON
ejpam-5993	35	1	j. pure	PERSON
ejpam-5993	35	2	18	CARDINAL
ejpam-5993	35	3	2	CARDINAL
ejpam-5993	35	4	2025	CARDINAL
ejpam-5993	35	5	5993 3	DATE
ejpam-5993	35	6	9–12].72 73	CARDINAL
ejpam-5993	36	1	more74	ORG
ejpam-5993	36	2	certain75	ORG
ejpam-5993	36	3	itself.76 77	DATE
ejpam-5993	36	4	quotient79	ORG
ejpam-5993	39	1	13,81	CARDINAL
ejpam-5993	39	2	713	CARDINAL
ejpam-5993	39	3	14	CARDINAL
ejpam-5993	39	4	15	CARDINAL
ejpam-5993	40	1	⋆(g	DATE
ejpam-5993	40	2	2	CARDINAL
ejpam-5993	40	3	preliminaries86	ORG
ejpam-5993	40	4	in87	ORG
ejpam-5993	40	5	1	CARDINAL
ejpam-5993	42	1	following89	ORG
ejpam-5993	45	1	13	CARDINAL
ejpam-5993	45	2	3.3	CARDINAL
ejpam-5993	46	1	16	CARDINAL
ejpam-5993	46	2	2.7].94	CARDINAL
ejpam-5993	46	3	2	CARDINAL
ejpam-5993	47	1	sshsubgroup95	ORG
ejpam-5993	47	2	g and l	ORG
ejpam-5993	49	1	.97	PERSON
ejpam-5993	52	1	6	CARDINAL
ejpam-5993	52	2	2.4].102	CARDINAL
ejpam-5993	52	3	a. s. allehyani / eur	PERSON
ejpam-5993	53	1	j. pure	PERSON
ejpam-5993	53	2	18	CARDINAL
ejpam-5993	53	3	2	CARDINAL
ejpam-5993	53	4	2025	CARDINAL
ejpam-5993	53	5	5993 4	DATE
ejpam-5993	53	6	13	CARDINAL
ejpam-5993	53	7	3	CARDINAL
ejpam-5993	56	1	103 1	DATE
ejpam-5993	57	1	17	CARDINAL
ejpam-5993	57	2	2.6].106	CARDINAL
ejpam-5993	57	3	4	CARDINAL
ejpam-5993	59	1	3	CARDINAL
ejpam-5993	59	2	6.2].109	CARDINAL
ejpam-5993	59	3	5	CARDINAL
ejpam-5993	62	1	g),111	ORG
ejpam-5993	62	2	ki	ORG
ejpam-5993	62	3	1 ≤ i ≤ n	QUANTITY
ejpam-5993	63	1	g is112 supersolvable.113 proof	PERSON
ejpam-5993	64	1	13	CARDINAL
ejpam-5993	64	2	720	CARDINAL
ejpam-5993	64	3	9.9].114	CARDINAL
ejpam-5993	65	1	6	CARDINAL
ejpam-5993	68	1	18	CARDINAL
ejpam-5993	68	2	lemma 2.5(1)].117 lemma 7	ORG
ejpam-5993	69	1	abelian	NORP
ejpam-5993	69	2	equivalent:119	PERSON
ejpam-5993	70	1	19	CARDINAL
ejpam-5993	70	2	2.6].122	CARDINAL
ejpam-5993	70	3	8	CARDINAL
ejpam-5993	71	1	g:123 (	ORG
ejpam-5993	77	1	126	CARDINAL
ejpam-5993	78	1	20	CARDINAL
ejpam-5993	78	2	123	CARDINAL
ejpam-5993	78	3	9	CARDINAL
ejpam-5993	79	1	g/h supersolv-128	ORG
ejpam-5993	81	1	21	CARDINAL
ejpam-5993	81	2	a. s. allehyani / eur	PERSON
ejpam-5993	82	1	j. pure	PERSON
ejpam-5993	82	2	18	CARDINAL
ejpam-5993	82	3	2	CARDINAL
ejpam-5993	82	4	2025	CARDINAL
ejpam-5993	82	5	5993 5	DATE
ejpam-5993	83	1	134	CARDINAL
ejpam-5993	83	2	1	CARDINAL
ejpam-5993	85	1	two	CARDINAL
ejpam-5993	85	2	140	CARDINAL
ejpam-5993	85	3	1	CARDINAL
ejpam-5993	91	1	g/p1.	ORG
ejpam-5993	92	1	lemma 2(ii	PERSON
ejpam-5993	94	1	∩ fq)p1	PERSON
ejpam-5993	94	2	∩ fq	PERSON
ejpam-5993	94	3	∩ fq	PERSON
ejpam-5993	94	4	2(iii	CARDINAL
ejpam-5993	96	1	|g|	GPE
ejpam-5993	98	1	huppert [13	PERSON
ejpam-5993	98	2	713	CARDINAL
ejpam-5993	98	3	8.6	CARDINAL
ejpam-5993	98	4	157	CARDINAL
ejpam-5993	98	5	2	CARDINAL
ejpam-5993	99	1	1.158 159	CARDINAL
ejpam-5993	100	1	1(i	CARDINAL
ejpam-5993	100	2	φ(p	PERSON
ejpam-5993	101	1	1	CARDINAL
ejpam-5993	102	1	1,161	CARDINAL
ejpam-5993	103	1	1	CARDINAL
ejpam-5993	103	2	13	CARDINAL
ejpam-5993	103	3	279,162	CARDINAL
ejpam-5993	104	1	×rm	PERSON
ejpam-5993	104	2	1	CARDINAL
ejpam-5993	106	1	1	CARDINAL
ejpam-5993	107	1	p1 is165	PERSON
ejpam-5993	107	2	1 ∩nt	QUANTITY
ejpam-5993	107	3	∈	ORG
ejpam-5993	107	4	1 ∩nt	QUANTITY
ejpam-5993	107	5	∈	ORG
ejpam-5993	107	6	abelian	NORP
ejpam-5993	107	7	1 ∩nt	QUANTITY
ejpam-5993	108	1	1 ≤	QUANTITY
ejpam-5993	108	2	∈	ORG
ejpam-5993	110	1	φ(p	PERSON
ejpam-5993	110	2	1,171	CARDINAL
ejpam-5993	110	3	a. s. allehyani	PERSON
ejpam-5993	111	1	j. pure	PERSON
ejpam-5993	111	2	18	CARDINAL
ejpam-5993	111	3	2	CARDINAL
ejpam-5993	111	4	2025	CARDINAL
ejpam-5993	111	5	5993 6 of 13	DATE
ejpam-5993	111	6	r1≮ p1.	ORG
ejpam-5993	112	1	p1 is172	PERSON
ejpam-5993	112	2	∈	PRODUCT
ejpam-5993	112	3	we174	ORG
ejpam-5993	113	1	g ∩k ∩ng(p1	PERSON
ejpam-5993	116	1	lemma 4	ORG
ejpam-5993	116	2	g. now	PERSON
ejpam-5993	118	1	1	CARDINAL
ejpam-5993	119	1	|r1|.178	PERSON
ejpam-5993	121	1	1	CARDINAL
ejpam-5993	122	1	1	CARDINAL
ejpam-5993	124	1	g).181	NORP
ejpam-5993	124	2	ki	PERSON
ejpam-5993	124	3	1 ≤	QUANTITY
ejpam-5993	125	1	5	CARDINAL
ejpam-5993	125	2	1	CARDINAL
ejpam-5993	127	1	1	CARDINAL
ejpam-5993	128	1	2	CARDINAL
ejpam-5993	129	1	2	CARDINAL
ejpam-5993	130	1	g/h is191	ORG
ejpam-5993	132	1	minimal194	ORG
ejpam-5993	133	1	two	CARDINAL
ejpam-5993	133	2	196	CARDINAL
ejpam-5993	133	3	1	CARDINAL
ejpam-5993	136	1	g/h	ORG
ejpam-5993	138	1	h)/p1	PERSON
ejpam-5993	139	1	h)/p1	PERSON
ejpam-5993	141	1	l/p1	FAC
ejpam-5993	141	2	g/p1.	ORG
ejpam-5993	142	1	the206	ORG
ejpam-5993	146	1	a. s. allehyani	PERSON
ejpam-5993	147	1	j. pure	PERSON
ejpam-5993	147	2	18	CARDINAL
ejpam-5993	147	3	2	CARDINAL
ejpam-5993	147	4	2025	CARDINAL
ejpam-5993	147	5	5993 7	DATE
ejpam-5993	147	6	13	CARDINAL
ejpam-5993	147	7	h)/p1	PERSON
ejpam-5993	148	1	g/p1.	ORG
ejpam-5993	149	1	minimalty	GPE
ejpam-5993	149	2	|g|	GPE
ejpam-5993	150	1	huppert	PERSON
ejpam-5993	150	2	13	CARDINAL
ejpam-5993	150	3	713	CARDINAL
ejpam-5993	150	4	8.6	CARDINAL
ejpam-5993	150	5	213	CARDINAL
ejpam-5993	150	6	2	CARDINAL
ejpam-5993	151	1	1214 215	DATE
ejpam-5993	151	2	1	CARDINAL
ejpam-5993	153	1	lemma 3	ORG
ejpam-5993	155	1	r1×r2×r3×	PERSON
ejpam-5993	155	2	1	CARDINAL
ejpam-5993	156	1	t)218	CARDINAL
ejpam-5993	157	1	∈	PRODUCT
ejpam-5993	157	2	k = p	ORG
ejpam-5993	160	1	4	CARDINAL
ejpam-5993	160	2	g. let223	PERSON
ejpam-5993	160	3	1	CARDINAL
ejpam-5993	164	1	1	CARDINAL
ejpam-5993	164	2	pq	PERSON
ejpam-5993	165	1	pq	PERSON
ejpam-5993	166	1	1	CARDINAL
ejpam-5993	166	2	7(i	CARDINAL
ejpam-5993	167	1	ri ∩ z(p	PERSON
ejpam-5993	167	2	1	CARDINAL
ejpam-5993	168	1	li	PERSON
ejpam-5993	168	2	ri ∩ z(p	FAC
ejpam-5993	168	3	where232	PERSON
ejpam-5993	168	4	1	CARDINAL
ejpam-5993	169	1	li	PERSON
ejpam-5993	170	1	li	PERSON
ejpam-5993	171	1	li = p1,233	PERSON
ejpam-5993	171	2	li	PERSON
ejpam-5993	171	3	li	PERSON
ejpam-5993	171	4	li	PERSON
ejpam-5993	171	5	4	CARDINAL
ejpam-5993	171	6	li	PERSON
ejpam-5993	171	7	g. since	PERSON
ejpam-5993	171	8	ri	GPE
ejpam-5993	171	9	li = ri	PERSON
ejpam-5993	171	10	i.	PERSON
ejpam-5993	171	11	r1×r2×r3×	PERSON
ejpam-5993	171	12	×rm	PERSON
ejpam-5993	171	13	1	CARDINAL
ejpam-5993	175	1	that239	PERSON
ejpam-5993	180	1	since241 h	ORG
ejpam-5993	180	2	ch(f	ORG
ejpam-5993	184	1	series:244	NORP
ejpam-5993	184	2	gm−1/f (h) ⊴	ORG
ejpam-5993	185	1	g0	PERSON
ejpam-5993	185	2	gi−1	ORG
ejpam-5993	186	1	then246	PERSON
ejpam-5993	187	1	gm	ORG
ejpam-5993	187	2	gm−1	ORG
ejpam-5993	188	1	g0 = g	PERSON
ejpam-5993	188	2	gi−1	ORG
ejpam-5993	188	3	gi−1	ORG
ejpam-5993	188	4	g.	PERSON
ejpam-5993	188	5	a. s. allehyani	PERSON
ejpam-5993	189	1	j. pure	PERSON
ejpam-5993	189	2	18	CARDINAL
ejpam-5993	189	3	2	CARDINAL
ejpam-5993	189	4	2025	CARDINAL
ejpam-5993	189	5	5993 8	DATE
ejpam-5993	189	6	13 1	CARDINAL
ejpam-5993	189	7	gn−1	ORG
ejpam-5993	189	8	gm	ORG
ejpam-5993	189	9	gi−1/gi)(m+ 1 ⩽ i ⩽ n	ORG
ejpam-5993	189	10	we251	ORG
ejpam-5993	189	11	1	CARDINAL
ejpam-5993	190	1	gm	ORG
ejpam-5993	190	2	g0 =	PERSON
ejpam-5993	190	3	gi−1	ORG
ejpam-5993	190	4	g. hence	PERSON
ejpam-5993	190	5	2	CARDINAL
ejpam-5993	190	6	3	CARDINAL
ejpam-5993	191	1	g/h ∈ f.	ORG
ejpam-5993	193	1	steps:261 262	CARDINAL
ejpam-5993	193	2	1	CARDINAL
ejpam-5993	193	3	1263	DATE
ejpam-5993	195	1	second	ORDINAL
ejpam-5993	195	2	1	CARDINAL
ejpam-5993	195	3	2,266	CARDINAL
ejpam-5993	197	1	1.268 269	CARDINAL
ejpam-5993	197	2	2	CARDINAL
ejpam-5993	199	1	1	CARDINAL
ejpam-5993	201	1	1	CARDINAL
ejpam-5993	201	2	3	CARDINAL
ejpam-5993	203	1	× rt	PERSON
ejpam-5993	203	2	1	CARDINAL
ejpam-5993	204	1	t)272	ORG
ejpam-5993	204	2	2	CARDINAL
ejpam-5993	204	3	2	CARDINAL
ejpam-5993	205	1	275	CARDINAL
ejpam-5993	205	2	3	CARDINAL
ejpam-5993	205	3	2	CARDINAL
ejpam-5993	207	1	1	CARDINAL
ejpam-5993	217	1	ch(f	ORG
ejpam-5993	220	1	abelian	NORP
ejpam-5993	222	1	284	CARDINAL
ejpam-5993	222	2	4	CARDINAL
ejpam-5993	222	3	is286	NORP
ejpam-5993	222	4	abelian	NORP
ejpam-5993	224	1	a. s. allehyani	PERSON
ejpam-5993	225	1	j. pure	PERSON
ejpam-5993	225	2	18	CARDINAL
ejpam-5993	225	3	2	CARDINAL
ejpam-5993	225	4	2025	CARDINAL
ejpam-5993	225	5	5993 9	DATE
ejpam-5993	225	6	g/n ∈ f	ORG
ejpam-5993	225	7	g/n	FAC
ejpam-5993	226	1	p/n	ORG
ejpam-5993	227	1	p1/n	PRODUCT
ejpam-5993	227	2	p1/n	PRODUCT
ejpam-5993	227	3	g/n	FAC
ejpam-5993	227	4	2(ii	CARDINAL
ejpam-5993	229	1	qn/n	FAC
ejpam-5993	229	2	297	CARDINAL
ejpam-5993	230	1	g/n	FAC
ejpam-5993	230	2	2	CARDINAL
ejpam-5993	233	1	g/n ∈	ORG
ejpam-5993	233	2	301	CARDINAL
ejpam-5993	233	3	5	CARDINAL
ejpam-5993	233	4	2	CARDINAL
ejpam-5993	233	5	4	CARDINAL
ejpam-5993	235	1	l ̸= n	ORG
ejpam-5993	235	2	nl	ORG
ejpam-5993	235	3	g/l.	ORG
ejpam-5993	237	1	g/l)/(nl/l	ORG
ejpam-5993	237	2	g/l)/(nl/l	ORG
ejpam-5993	237	3	n ∩ l = 1	ORG
ejpam-5993	238	1	309 nl/l	QUANTITY
ejpam-5993	238	2	g/l.	ORG
ejpam-5993	238	3	of310 g	PERSON
ejpam-5993	240	1	1	CARDINAL
ejpam-5993	241	1	∩ φ(g	PERSON
ejpam-5993	241	2	1	CARDINAL
ejpam-5993	244	1	1	CARDINAL
ejpam-5993	245	1	1	CARDINAL
ejpam-5993	248	1	it315	ORG
ejpam-5993	248	2	⊆	CARDINAL
ejpam-5993	249	1	∈	ORG
ejpam-5993	249	2	⊆	CARDINAL
ejpam-5993	249	3	1	CARDINAL
ejpam-5993	250	1	3	CARDINAL
ejpam-5993	250	2	g = n	PERSON
ejpam-5993	250	3	319	CARDINAL
ejpam-5993	250	4	5	CARDINAL
ejpam-5993	250	5	2	CARDINAL
ejpam-5993	250	6	∈	ORG
ejpam-5993	251	1	320	CARDINAL
ejpam-5993	251	2	g/n	ORG
ejpam-5993	251	3	∈	ORG
ejpam-5993	251	4	3	CARDINAL
ejpam-5993	251	5	for322	ORG
ejpam-5993	251	6	three	CARDINAL
ejpam-5993	251	7	4	CARDINAL
ejpam-5993	252	1	g/h	ORG
ejpam-5993	252	2	a. s. allehyani	PERSON
ejpam-5993	253	1	j. pure	PERSON
ejpam-5993	253	2	18	CARDINAL
ejpam-5993	253	3	2	CARDINAL
ejpam-5993	253	4	2025	CARDINAL
ejpam-5993	253	5	5993 10	DATE
ejpam-5993	253	6	13	CARDINAL
ejpam-5993	254	1	have:329 330 (	ORG
ejpam-5993	254	2	1	CARDINAL
ejpam-5993	254	3	n/n ∩h ∼= nh/h is332	ORG
ejpam-5993	254	4	nh/h	ORG
ejpam-5993	255	1	8((i	PRODUCT
ejpam-5993	262	1	∗(h ∩ n	WORK_OF_ART
ejpam-5993	262	2	i. e.	PERSON
ejpam-5993	262	3	i. e.	PERSON
ejpam-5993	263	1	2(ii	CARDINAL
ejpam-5993	265	1	340	CARDINAL
ejpam-5993	265	2	2	CARDINAL
ejpam-5993	266	1	1	CARDINAL
ejpam-5993	267	1	9	CARDINAL
ejpam-5993	268	1	8(ii	CARDINAL
ejpam-5993	268	2	2	CARDINAL
ejpam-5993	269	1	3	CARDINAL
ejpam-5993	271	1	g345	ORG
ejpam-5993	272	1	1	CARDINAL
ejpam-5993	274	1	347	CARDINAL
ejpam-5993	274	2	3	CARDINAL
ejpam-5993	274	3	φ(p	PERSON
ejpam-5993	275	1	1	CARDINAL
ejpam-5993	276	1	g/φ(p	ORG
ejpam-5993	279	1	g)/φ(p	PERSON
ejpam-5993	280	1	p1/φ(p	ORG
ejpam-5993	280	2	350	CARDINAL
ejpam-5993	282	1	p1/φ(p	ORG
ejpam-5993	282	2	2(iii	CARDINAL
ejpam-5993	283	1	q∗/φ(p	PERSON
ejpam-5993	285	1	2	CARDINAL
ejpam-5993	285	2	q∗/φ(p	PERSON
ejpam-5993	285	3	g/φ(p	ORG
ejpam-5993	286	1	g,358 g/φ(p	ORG
ejpam-5993	288	1	huppert	PERSON
ejpam-5993	288	2	13	CARDINAL
ejpam-5993	288	3	713	CARDINAL
ejpam-5993	288	4	8.6	CARDINAL
ejpam-5993	288	5	361	CARDINAL
ejpam-5993	288	6	4	CARDINAL
ejpam-5993	289	1	g. since363	PERSON
ejpam-5993	290	1	z(f	CARDINAL
ejpam-5993	291	1	2	CARDINAL
ejpam-5993	291	2	lemma 8((i)364	ORG
ejpam-5993	297	1	1	CARDINAL
ejpam-5993	298	1	g/cg(p0	PERSON
ejpam-5993	299	1	g/cg(p0	PERSON
ejpam-5993	301	1	1	CARDINAL
ejpam-5993	301	2	a. s. allehyani	PERSON
ejpam-5993	302	1	j. pure	PERSON
ejpam-5993	302	2	18	CARDINAL
ejpam-5993	302	3	2	CARDINAL
ejpam-5993	302	4	2025	CARDINAL
ejpam-5993	302	5	5993 11	DATE
ejpam-5993	302	6	13	CARDINAL
ejpam-5993	304	1	z(g	ORG
ejpam-5993	307	1	3	CARDINAL
ejpam-5993	309	1	9	CARDINAL
ejpam-5993	309	2	374	CARDINAL
ejpam-5993	309	3	5	CARDINAL
ejpam-5993	309	4	3	CARDINAL
ejpam-5993	309	5	φ(p	PERSON
ejpam-5993	310	1	1	CARDINAL
ejpam-5993	310	2	3	CARDINAL
ejpam-5993	313	1	× rt	PERSON
ejpam-5993	313	2	1	CARDINAL
ejpam-5993	314	1	∈	PRODUCT
ejpam-5993	314	2	that382 k = p	ORG
ejpam-5993	316	1	4	CARDINAL
ejpam-5993	316	2	g. let384	PERSON
ejpam-5993	317	1	1	CARDINAL
ejpam-5993	317	2	p1q ⩽ g	PERSON
ejpam-5993	320	1	1	CARDINAL
ejpam-5993	320	2	pq	PERSON
ejpam-5993	321	1	7(ii	CARDINAL
ejpam-5993	322	1	abelian	NORP
ejpam-5993	322	2	1	CARDINAL
ejpam-5993	323	1	1	CARDINAL
ejpam-5993	324	1	li	PERSON
ejpam-5993	324	2	ri ∩ z(p	FAC
ejpam-5993	324	3	1	CARDINAL
ejpam-5993	325	1	li	PERSON
ejpam-5993	326	1	li	PERSON
ejpam-5993	327	1	li = p1,394	PERSON
ejpam-5993	327	2	li	PERSON
ejpam-5993	327	3	li	PERSON
ejpam-5993	327	4	li	PERSON
ejpam-5993	327	5	4	CARDINAL
ejpam-5993	327	6	li	PERSON
ejpam-5993	327	7	g. since	PERSON
ejpam-5993	327	8	ri	GPE
ejpam-5993	328	1	4)397	CARDINAL
ejpam-5993	328	2	4	CARDINAL
ejpam-5993	328	3	5	CARDINAL
ejpam-5993	330	1	g/h ∈	ORG
ejpam-5993	332	1	|g|	GPE
ejpam-5993	333	1	hypothesis403	ORG
ejpam-5993	333	2	lemma 2(i	ORG
ejpam-5993	334	1	4	CARDINAL
ejpam-5993	335	1	3	CARDINAL
ejpam-5993	335	2	∈	ORG
ejpam-5993	336	1	2	CARDINAL
ejpam-5993	337	1	5	CARDINAL
ejpam-5993	337	2	g = n	PERSON
ejpam-5993	337	3	409	CARDINAL
ejpam-5993	337	4	a. s. allehyani	PERSON
ejpam-5993	338	1	j. pure	PERSON
ejpam-5993	338	2	18	CARDINAL
ejpam-5993	338	3	2	CARDINAL
ejpam-5993	338	4	2025	CARDINAL
ejpam-5993	338	5	5993 12 of 13	DATE
ejpam-5993	338	6	5	CARDINAL
ejpam-5993	338	7	2	CARDINAL
ejpam-5993	338	8	∈	ORG
ejpam-5993	340	1	∈	ORG
ejpam-5993	340	2	5	CARDINAL
ejpam-5993	342	1	⊆	CARDINAL
ejpam-5993	343	1	3)414	CARDINAL
ejpam-5993	345	1	4	CARDINAL
ejpam-5993	349	1	g/h	ORG
ejpam-5993	351	1	the424	PERSON
ejpam-5993	352	1	1	CARDINAL
ejpam-5993	352	2	o. h. kegel	PERSON
ejpam-5993	354	1	mathematische430 zeitschrift	PERSON
ejpam-5993	354	2	78(1):205–221	DATE
ejpam-5993	354	3	1962.431	CARDINAL
ejpam-5993	355	1	2	CARDINAL
ejpam-5993	355	2	y. wang	PERSON
ejpam-5993	357	1	180(3):954–432 965	DATE
ejpam-5993	357	2	1996.433	CARDINAL
ejpam-5993	358	1	3	CARDINAL
ejpam-5993	358	2	m. bianchi	PERSON
ejpam-5993	358	3	a. g. b. mauri	PERSON
ejpam-5993	358	4	m. herzog	PERSON
ejpam-5993	358	5	l. verardi	PERSON
ejpam-5993	360	1	3(2):147–156,435 2000.436	QUANTITY
ejpam-5993	361	1	4	CARDINAL
ejpam-5993	361	2	x. wei	PERSON
ejpam-5993	361	3	x. guo	PERSON
ejpam-5993	363	1	40(9):3245–3256	CARDINAL
ejpam-5993	363	2	2012.438	CARDINAL
ejpam-5993	363	3	5	CARDINAL
ejpam-5993	363	4	m. asaad	PERSON
ejpam-5993	363	5	m. ramadan	PERSON
ejpam-5993	364	1	15(5):1650091	CARDINAL
ejpam-5993	364	2	2016.440	CARDINAL
ejpam-5993	364	3	6	CARDINAL
ejpam-5993	364	4	t. m. al-gafri	PERSON
ejpam-5993	364	5	s. k. nauman	PERSON
ejpam-5993	366	1	di ferrara	PERSON
ejpam-5993	366	2	64(2):209–225	CARDINAL
ejpam-5993	366	3	2018.442	CARDINAL
ejpam-5993	366	4	7	CARDINAL
ejpam-5993	366	5	s. srinivasan	PERSON
ejpam-5993	367	1	two	CARDINAL
ejpam-5993	368	1	israel443 journal of mathematics	ORG
ejpam-5993	368	2	35(3):210–214	CARDINAL
ejpam-5993	368	3	a. s. allehyani	PERSON
ejpam-5993	369	1	j. pure	PERSON
ejpam-5993	369	2	18	CARDINAL
ejpam-5993	369	3	2	CARDINAL
ejpam-5993	369	4	2025	CARDINAL
ejpam-5993	369	5	5993 13	DATE
ejpam-5993	369	6	13	CARDINAL
ejpam-5993	369	7	8	CARDINAL
ejpam-5993	369	8	m. asaad	PERSON
ejpam-5993	371	1	in445	CARDINAL
ejpam-5993	371	2	34(1):189–195	CARDINAL
ejpam-5993	371	3	2006.446	CARDINAL
ejpam-5993	371	4	9	CARDINAL
ejpam-5993	371	5	m. m. al-shomrani	PERSON
ejpam-5993	371	6	m. ramadan	PERSON
ejpam-5993	371	7	a. a. heliel	PERSON
ejpam-5993	372	1	minimal447	ORG
ejpam-5993	373	1	acta mathematica scientia	PERSON
ejpam-5993	373	2	32(6):2295–2301,448 2012.449	CARDINAL
ejpam-5993	374	1	10	CARDINAL
ejpam-5993	374	2	m. asaad	PERSON
ejpam-5993	374	3	m. m. al-shomrani	PERSON
ejpam-5993	374	4	a. a. heliel	PERSON
ejpam-5993	376	1	studia scientiarum mathematicarum	PERSON
ejpam-5993	376	2	2014.452	CARDINAL
ejpam-5993	376	3	11	CARDINAL
ejpam-5993	376	4	m. asaad	PERSON
ejpam-5993	376	5	m. ramadan	PERSON
ejpam-5993	376	6	a. a. heliel	PERSON
ejpam-5993	378	1	publicationes mathematicae debrecen	ORG
ejpam-5993	378	2	91(3-4):503–454 513	QUANTITY
ejpam-5993	378	3	2017.455	CARDINAL
ejpam-5993	379	1	12	CARDINAL
ejpam-5993	379	2	m. asaad	PERSON
ejpam-5993	379	3	a. a. heliel	PERSON
ejpam-5993	379	4	m. m. al-shomrani	PERSON
ejpam-5993	381	1	40(9):3540–3550	CARDINAL
ejpam-5993	381	2	2012.457	CARDINAL
ejpam-5993	381	3	13	CARDINAL
ejpam-5993	381	4	b. huppert	PERSON
ejpam-5993	382	1	i. springer	PERSON
ejpam-5993	382	2	berlin	GPE
ejpam-5993	382	3	14	CARDINAL
ejpam-5993	382	4	w. guo	PERSON
ejpam-5993	384	1	kluwer	ORG
ejpam-5993	384	2	2000.460	DATE
ejpam-5993	385	1	15	CARDINAL
ejpam-5993	385	2	d. j. s. robinson	PERSON
ejpam-5993	387	1	new york	GPE
ejpam-5993	387	2	1993.461	CARDINAL
ejpam-5993	388	1	16	CARDINAL
ejpam-5993	388	2	l. miao	PERSON
ejpam-5993	388	3	w. lempken	PERSON
ejpam-5993	390	1	journal462	GPE
ejpam-5993	390	2	12(2):271–287	CARDINAL
ejpam-5993	390	3	2009.463	CARDINAL
ejpam-5993	390	4	17	CARDINAL
ejpam-5993	390	5	y. wang	PERSON
ejpam-5993	390	6	y. li	PERSON
ejpam-5993	390	7	h. wei	PERSON
ejpam-5993	392	1	archiv der mathematik	ORG
ejpam-5993	392	2	2003.465	CARDINAL
ejpam-5993	393	1	18	CARDINAL
ejpam-5993	393	2	w. guo	PERSON
ejpam-5993	393	3	a. n. skiba	PERSON
ejpam-5993	395	1	321(10):2843–2860	CARDINAL
ejpam-5993	395	2	2009.467	CARDINAL
ejpam-5993	395	3	19	CARDINAL
ejpam-5993	395	4	m. asaad	PERSON
ejpam-5993	395	5	a. a. heliel	PERSON
ejpam-5993	397	1	archiv der468 mathematik	ORG
ejpam-5993	397	2	80(2):113–118	CARDINAL
ejpam-5993	397	3	20	CARDINAL
ejpam-5993	397	4	b. huppert	PERSON
ejpam-5993	397	5	n. blackburn	PERSON
ejpam-5993	398	1	springer	PERSON
ejpam-5993	398	2	berlin	GPE
ejpam-5993	398	3	1982.470	CARDINAL
ejpam-5993	399	1	21	CARDINAL
ejpam-5993	399	2	m. weinstein	PERSON
ejpam-5993	401	1	polygonal publishing house	ORG
ejpam-5993	401	2	nj	ORG
ejpam-5993	401	3	1982.472	CARDINAL