id	sid	eid	entity	type
ejpam-6033	1	1	european journal	ORG
ejpam-6033	1	2	2025	DATE
ejpam-6033	1	3	18	CARDINAL
ejpam-6033	1	4	3	CARDINAL
ejpam-6033	1	5	6033	CARDINAL
ejpam-6033	1	6	1307-5543	DATE
ejpam-6033	1	7	new york	GPE
ejpam-6033	1	8	abdulaziz mutlaq alotaibi1	PERSON
ejpam-6033	1	9	khalid al-tahat2	PERSON
ejpam-6033	1	10	mustafa al-jamal2,∗ 1	PERSON
ejpam-6033	1	11	al-kharj	GPE
ejpam-6033	1	12	prince sattam bin abdulaziz university	PERSON
ejpam-6033	1	13	saudi arabia	GPE
ejpam-6033	1	14	2	CARDINAL
ejpam-6033	1	15	arab	NORP
ejpam-6033	1	16	university	GPE
ejpam-6033	1	17	amman	GPE
ejpam-6033	1	18	jordan	GPE
ejpam-6033	5	1	2020	DATE
ejpam-6033	5	2	20d10	CARDINAL
ejpam-6033	5	3	20d35	CARDINAL
ejpam-6033	5	4	1	CARDINAL
ejpam-6033	9	1	1	CARDINAL
ejpam-6033	11	1	one	CARDINAL
ejpam-6033	13	1	2	CARDINAL
ejpam-6033	14	1	1	CARDINAL
ejpam-6033	15	1	3	CARDINAL
ejpam-6033	16	1	sr8 ⟩	PERSON
ejpam-6033	16	2	4	CARDINAL
ejpam-6033	16	3	5	CARDINAL
ejpam-6033	17	1	∗corresponding	PERSON
ejpam-6033	18	1	a. m. alotaibi	PERSON
ejpam-6033	19	1	aljammal@aou.edu.jo	PERSON
ejpam-6033	19	2	− jamal	PERSON
ejpam-6033	19	3	1	CARDINAL
ejpam-6033	20	1	2025	CARDINAL
ejpam-6033	21	1	a. m. alotaibiang	PERSON
ejpam-6033	21	2	k. al-tahat	PERSON
ejpam-6033	21	3	k. m. al-jamal	PERSON
ejpam-6033	22	1	j. pure	PERSON
ejpam-6033	22	2	18	CARDINAL
ejpam-6033	22	3	3	CARDINAL
ejpam-6033	22	4	2025	CARDINAL
ejpam-6033	22	5	2	CARDINAL
ejpam-6033	22	6	8	CARDINAL
ejpam-6033	23	1	nspt -groups	EVENT
ejpam-6033	24	1	6	CARDINAL
ejpam-6033	26	1	t -groups	DATE
ejpam-6033	26	2	8	CARDINAL
ejpam-6033	27	1	10	CARDINAL
ejpam-6033	28	1	2	CARDINAL
ejpam-6033	29	1	1	CARDINAL
ejpam-6033	30	1	10	CARDINAL
ejpam-6033	30	2	at least one	CARDINAL
ejpam-6033	30	3	2	CARDINAL
ejpam-6033	31	1	11	CARDINAL
ejpam-6033	31	2	g. lemma	PERSON
ejpam-6033	32	1	1	CARDINAL
ejpam-6033	33	1	12	CARDINAL
ejpam-6033	33	2	∈	ORG
ejpam-6033	34	1	3	CARDINAL
ejpam-6033	35	1	8	CARDINAL
ejpam-6033	36	1	1	CARDINAL
ejpam-6033	37	1	13	CARDINAL
ejpam-6033	40	1	k.	PERSON
ejpam-6033	40	2	k ≤ h.	ORG
ejpam-6033	42	1	4	DATE
ejpam-6033	43	1	9	CARDINAL
ejpam-6033	44	1	a. m. alotaibiang	PERSON
ejpam-6033	44	2	k. al-tahat	PERSON
ejpam-6033	44	3	k. m. al-jamal	PERSON
ejpam-6033	45	1	j. pure	PERSON
ejpam-6033	45	2	18	CARDINAL
ejpam-6033	45	3	3	CARDINAL
ejpam-6033	45	4	2025	CARDINAL
ejpam-6033	45	5	3	CARDINAL
ejpam-6033	45	6	8	CARDINAL
ejpam-6033	45	7	2	CARDINAL
ejpam-6033	48	1	11	CARDINAL
ejpam-6033	48	2	t -groups	DATE
ejpam-6033	48	3	abelian	NORP
ejpam-6033	49	1	5	CARDINAL
ejpam-6033	50	1	14	CARDINAL
ejpam-6033	50	2	1	CARDINAL
ejpam-6033	51	1	15	CARDINAL
ejpam-6033	52	1	3	CARDINAL
ejpam-6033	54	1	abelian	NORP
ejpam-6033	56	1	1	CARDINAL
ejpam-6033	57	1	4	CARDINAL
ejpam-6033	58	1	3	CARDINAL
ejpam-6033	59	1	1	CARDINAL
ejpam-6033	60	1	3	CARDINAL
ejpam-6033	64	1	k.	PERSON
ejpam-6033	66	1	2	CARDINAL
ejpam-6033	67	1	two	CARDINAL
ejpam-6033	69	1	18	CARDINAL
ejpam-6033	70	1	0	DATE
ejpam-6033	70	2	12	CARDINAL
ejpam-6033	70	3	0	CARDINAL
ejpam-6033	70	4	13	CARDINAL
ejpam-6033	70	5	0	CARDINAL
ejpam-6033	70	6	23	CARDINAL
ejpam-6033	70	7	132	CARDINAL
ejpam-6033	70	8	0)((123	DATE
ejpam-6033	70	9	1	CARDINAL
ejpam-6033	70	10	12	CARDINAL
ejpam-6033	70	11	1	CARDINAL
ejpam-6033	70	12	13	CARDINAL
ejpam-6033	70	13	1	CARDINAL
ejpam-6033	70	14	23	CARDINAL
ejpam-6033	70	15	1	CARDINAL
ejpam-6033	70	16	132	CARDINAL
ejpam-6033	70	17	1	CARDINAL
ejpam-6033	70	18	123	CARDINAL
ejpam-6033	70	19	1	CARDINAL
ejpam-6033	70	20	2	CARDINAL
ejpam-6033	70	21	12	CARDINAL
ejpam-6033	70	22	2	CARDINAL
ejpam-6033	70	23	13	CARDINAL
ejpam-6033	70	24	2	CARDINAL
ejpam-6033	70	25	23	CARDINAL
ejpam-6033	70	26	2	CARDINAL
ejpam-6033	70	27	132	CARDINAL
ejpam-6033	70	28	2	CARDINAL
ejpam-6033	70	29	123	CARDINAL
ejpam-6033	70	30	2	CARDINAL
ejpam-6033	71	1	9	CARDINAL
ejpam-6033	71	2	1)⟩.	CARDINAL
ejpam-6033	71	3	6	CARDINAL
ejpam-6033	71	4	0	CARDINAL
ejpam-6033	71	5	13	CARDINAL
ejpam-6033	71	6	3	CARDINAL
ejpam-6033	71	7	⟨(e	PERSON
ejpam-6033	71	8	1)⟩	DATE
ejpam-6033	71	9	1	CARDINAL
ejpam-6033	72	1	a. m. alotaibiang	PERSON
ejpam-6033	72	2	k. al-tahat	PERSON
ejpam-6033	72	3	k. m. al-jamal	PERSON
ejpam-6033	73	1	j. pure	PERSON
ejpam-6033	73	2	18	CARDINAL
ejpam-6033	73	3	3	CARDINAL
ejpam-6033	73	4	2025	CARDINAL
ejpam-6033	73	5	4	CARDINAL
ejpam-6033	73	6	two	CARDINAL
ejpam-6033	75	1	6	CARDINAL
ejpam-6033	75	2	3	CARDINAL
ejpam-6033	75	3	1)⟩.	CARDINAL
ejpam-6033	75	4	1)⟩.	CARDINAL
ejpam-6033	75	5	1)⟩.	CARDINAL
ejpam-6033	75	6	9	CARDINAL
ejpam-6033	76	1	6	CARDINAL
ejpam-6033	80	1	4	CARDINAL
ejpam-6033	83	1	h(p	PRODUCT
ejpam-6033	86	1	1	CARDINAL
ejpam-6033	87	1	1	CARDINAL
ejpam-6033	87	2	at least one	CARDINAL
ejpam-6033	90	1	2	CARDINAL
ejpam-6033	93	1	18	CARDINAL
ejpam-6033	94	1	0	DATE
ejpam-6033	94	2	12	CARDINAL
ejpam-6033	94	3	0	CARDINAL
ejpam-6033	94	4	13	CARDINAL
ejpam-6033	94	5	0	CARDINAL
ejpam-6033	94	6	23	CARDINAL
ejpam-6033	94	7	13	CARDINAL
ejpam-6033	94	8	2	CARDINAL
ejpam-6033	94	9	23	CARDINAL
ejpam-6033	94	10	2	CARDINAL
ejpam-6033	94	11	132	CARDINAL
ejpam-6033	94	12	2	CARDINAL
ejpam-6033	94	13	123	CARDINAL
ejpam-6033	94	14	2	CARDINAL
ejpam-6033	95	1	9	CARDINAL
ejpam-6033	95	2	1)⟩.	CARDINAL
ejpam-6033	95	3	6	CARDINAL
ejpam-6033	95	4	0	CARDINAL
ejpam-6033	95	5	13	CARDINAL
ejpam-6033	95	6	3	CARDINAL
ejpam-6033	95	7	⟨(e	PERSON
ejpam-6033	95	8	1)⟩	DATE
ejpam-6033	95	9	order1	ORG
ejpam-6033	97	1	6	CARDINAL
ejpam-6033	97	2	3	CARDINAL
ejpam-6033	97	3	0	DATE
ejpam-6033	97	4	1	CARDINAL
ejpam-6033	97	5	2	CARDINAL
ejpam-6033	97	6	23	CARDINAL
ejpam-6033	97	7	23	CARDINAL
ejpam-6033	97	8	1	CARDINAL
ejpam-6033	97	9	23	CARDINAL
ejpam-6033	97	10	2	CARDINAL
ejpam-6033	98	1	0	DATE
ejpam-6033	98	2	1	CARDINAL
ejpam-6033	98	3	2	CARDINAL
ejpam-6033	98	4	13	CARDINAL
ejpam-6033	98	5	0	CARDINAL
ejpam-6033	98	6	13	CARDINAL
ejpam-6033	98	7	1	CARDINAL
ejpam-6033	98	8	13	CARDINAL
ejpam-6033	98	9	2	CARDINAL
ejpam-6033	99	1	0	DATE
ejpam-6033	99	2	1	CARDINAL
ejpam-6033	99	3	2	CARDINAL
ejpam-6033	99	4	12	CARDINAL
ejpam-6033	99	5	0	CARDINAL
ejpam-6033	99	6	12	CARDINAL
ejpam-6033	99	7	1	CARDINAL
ejpam-6033	99	8	12	CARDINAL
ejpam-6033	99	9	2	CARDINAL
ejpam-6033	100	1	9	CARDINAL
ejpam-6033	100	2	1)⟩.	CARDINAL
ejpam-6033	100	3	6	CARDINAL
ejpam-6033	101	1	3	CARDINAL
ejpam-6033	101	2	two	CARDINAL
ejpam-6033	101	3	0	DATE
ejpam-6033	101	4	123	CARDINAL
ejpam-6033	101	5	1	CARDINAL
ejpam-6033	101	6	132	CARDINAL
ejpam-6033	101	7	2	CARDINAL
ejpam-6033	102	1	a. m. alotaibiang	PERSON
ejpam-6033	102	2	k. al-tahat	PERSON
ejpam-6033	102	3	k. m. al-jamal	PERSON
ejpam-6033	103	1	j. pure	PERSON
ejpam-6033	103	2	18	CARDINAL
ejpam-6033	103	3	3	CARDINAL
ejpam-6033	103	4	2025	CARDINAL
ejpam-6033	103	5	5	CARDINAL
ejpam-6033	103	6	8	CARDINAL
ejpam-6033	103	7	0	DATE
ejpam-6033	103	8	132	CARDINAL
ejpam-6033	103	9	1	CARDINAL
ejpam-6033	103	10	123	CARDINAL
ejpam-6033	103	11	2	CARDINAL
ejpam-6033	104	1	6	CARDINAL
ejpam-6033	104	2	3	CARDINAL
ejpam-6033	105	1	2	CARDINAL
ejpam-6033	105	2	3	CARDINAL
ejpam-6033	105	3	0	DATE
ejpam-6033	105	4	23	CARDINAL
ejpam-6033	106	1	0	DATE
ejpam-6033	106	2	13	CARDINAL
ejpam-6033	107	1	0	DATE
ejpam-6033	107	2	12	CARDINAL
ejpam-6033	108	1	2	CARDINAL
ejpam-6033	109	1	3	CARDINAL
ejpam-6033	109	2	1)⟩	CARDINAL
ejpam-6033	110	1	2	CARDINAL
ejpam-6033	112	1	3	CARDINAL
ejpam-6033	116	1	3	CARDINAL
ejpam-6033	119	1	2	CARDINAL
ejpam-6033	119	2	8)	CARDINAL
ejpam-6033	120	1	aut	ORG
ejpam-6033	120	2	168	CARDINAL
ejpam-6033	120	3	179	CARDINAL
ejpam-6033	120	4	35	CARDINAL
ejpam-6033	120	5	4	CARDINAL
ejpam-6033	121	1	2	CARDINAL
ejpam-6033	121	2	z4	GPE
ejpam-6033	123	1	k ∩ h	ORG
ejpam-6033	123	2	1	CARDINAL
ejpam-6033	123	3	4every	CARDINAL
ejpam-6033	124	1	16	CARDINAL
ejpam-6033	124	2	3	CARDINAL
ejpam-6033	124	3	1	CARDINAL
ejpam-6033	125	1	kh1 = g	PERSON
ejpam-6033	125	2	16	CARDINAL
ejpam-6033	125	3	k. nspt -group	PERSON
ejpam-6033	125	4	25	CARDINAL
ejpam-6033	126	1	2	CARDINAL
ejpam-6033	126	2	3	CARDINAL
ejpam-6033	126	3	nspt groups	ORG
ejpam-6033	128	1	5	CARDINAL
ejpam-6033	132	1	⊆	CARDINAL
ejpam-6033	132	2	⊆	CARDINAL
ejpam-6033	133	1	∈	PRODUCT
ejpam-6033	134	1	a. m. alotaibiang	PERSON
ejpam-6033	134	2	k. al-tahat	PERSON
ejpam-6033	134	3	k. m. al-jamal	PERSON
ejpam-6033	135	1	j. pure	PERSON
ejpam-6033	135	2	18	CARDINAL
ejpam-6033	135	3	3	CARDINAL
ejpam-6033	135	4	2025	CARDINAL
ejpam-6033	135	5	6	CARDINAL
ejpam-6033	135	6	∈	ORG
ejpam-6033	136	1	apa −1 ⊆	PERSON
ejpam-6033	138	1	∈	ORG
ejpam-6033	139	1	1	CARDINAL
ejpam-6033	145	1	1 ⊆	CARDINAL
ejpam-6033	145	2	nk ⊆ h	ORG
ejpam-6033	145	3	⊆	CARDINAL
ejpam-6033	146	1	2	CARDINAL
ejpam-6033	152	1	1	CARDINAL
ejpam-6033	154	1	∈	ORG
ejpam-6033	154	2	∈	ORG
ejpam-6033	154	3	lemma 1	ORG
ejpam-6033	154	4	5	CARDINAL
ejpam-6033	155	1	⊆	CARDINAL
ejpam-6033	156	1	3	CARDINAL
ejpam-6033	158	1	2	CARDINAL
ejpam-6033	158	2	abelian	NORP
ejpam-6033	158	3	8	CARDINAL
ejpam-6033	159	1	abelian	NORP
ejpam-6033	162	1	4	CARDINAL
ejpam-6033	163	1	three	CARDINAL
ejpam-6033	164	1	4.	CARDINAL
ejpam-6033	165	1	nspt -groups	EVENT
ejpam-6033	170	1	1	CARDINAL
ejpam-6033	171	1	2	CARDINAL
ejpam-6033	172	1	a. m. alotaibiang	PERSON
ejpam-6033	172	2	k. al-tahat	PERSON
ejpam-6033	172	3	k. m. al-jamal	PERSON
ejpam-6033	173	1	j. pure	PERSON
ejpam-6033	173	2	18	CARDINAL
ejpam-6033	173	3	3	CARDINAL
ejpam-6033	173	4	2025	CARDINAL
ejpam-6033	173	5	7	CARDINAL
ejpam-6033	173	6	8	CARDINAL
ejpam-6033	173	7	bin abdulaziz university	PERSON
ejpam-6033	174	1	1	CARDINAL
ejpam-6033	174	2	o. kegel	PERSON
ejpam-6033	176	1	mathematische zeitschrift	PERSON
ejpam-6033	176	2	78:205–221, 1962	DATE
ejpam-6033	177	1	2	CARDINAL
ejpam-6033	177	2	a. m. alotaibi	PERSON
ejpam-6033	177	3	k. m. aljamal	PERSON
ejpam-6033	179	1	european journal	ORG
ejpam-6033	179	2	17(3):2329–2335	DATE
ejpam-6033	179	3	2024	DATE
ejpam-6033	180	1	3	CARDINAL
ejpam-6033	180	2	k. m. aljamal	PERSON
ejpam-6033	180	3	a. t. ab ghani	PERSON
ejpam-6033	180	4	k. a. al-sharo	PERSON
ejpam-6033	182	1	15(1):277–283	CARDINAL
ejpam-6033	182	2	2020	DATE
ejpam-6033	183	1	4	CARDINAL
ejpam-6033	183	2	k. m. aljamal	PERSON
ejpam-6033	183	3	a. t. ab ghani	PERSON
ejpam-6033	185	1	2nd	ORDINAL
ejpam-6033	185	2	012069	DATE
ejpam-6033	185	3	kuantan	GPE
ejpam-6033	185	4	pahang	GPE
ejpam-6033	185	5	malaysia	GPE
ejpam-6033	185	6	2019	DATE
ejpam-6033	186	1	july	DATE
ejpam-6033	187	1	5	CARDINAL
ejpam-6033	187	2	k. m. aljamal	PERSON
ejpam-6033	187	3	a. t. ab ghani	PERSON
ejpam-6033	187	4	k. a. al-sharo	PERSON
ejpam-6033	189	1	amman	GPE
ejpam-6033	189	2	jordan	GPE
ejpam-6033	189	3	2021	DATE
ejpam-6033	190	1	14–15 july	DATE
ejpam-6033	191	1	6	CARDINAL
ejpam-6033	191	2	a. alotaibi	PERSON
ejpam-6033	193	1	phd thesis	PERSON
ejpam-6033	193	2	mississippi state university	ORG
ejpam-6033	193	3	2023	CARDINAL
ejpam-6033	194	1	w. gaschütz	PERSON
ejpam-6033	194	2	denen das normalteilersein transitiv ist	PERSON
ejpam-6033	194	3	und angewandte mathematik	PERSON
ejpam-6033	194	4	198:87–92, 1957	DATE
ejpam-6033	195	1	8	CARDINAL
ejpam-6033	195	2	r. k. agrawal	PERSON
ejpam-6033	197	1	american	NORP
ejpam-6033	197	2	47:77–83	DATE
ejpam-6033	197	3	1975	DATE
ejpam-6033	198	1	9	CARDINAL
ejpam-6033	198	2	y. wang	PERSON
ejpam-6033	200	1	180(3):954	CARDINAL
ejpam-6033	200	2	965, 1996	DATE
ejpam-6033	201	1	10	CARDINAL
ejpam-6033	201	2	k. a. al-sharo	PERSON
ejpam-6033	203	1	40(1):315–326	CARDINAL
ejpam-6033	203	2	2012	DATE
ejpam-6033	204	1	11	CARDINAL
ejpam-6033	204	2	k. m. aljamal	PERSON
ejpam-6033	204	3	a. t. ab ghani	PERSON
ejpam-6033	204	4	k. a. al-sharo	PERSON
ejpam-6033	206	1	14(2):493–499	DATE
ejpam-6033	206	2	2019	DATE
ejpam-6033	207	1	12	CARDINAL
ejpam-6033	207	2	i. m. isaacs	PERSON
ejpam-6033	209	1	american mathematical society	ORG
ejpam-6033	209	2	rhode island	GPE
ejpam-6033	209	3	2008	DATE
ejpam-6033	210	1	13	CARDINAL
ejpam-6033	210	2	d. j. s. robinson	PERSON
ejpam-6033	212	1	american	NORP
ejpam-6033	212	2	19:933–937, 1968	DATE
ejpam-6033	213	1	14	CARDINAL
ejpam-6033	213	2	d. m. alsharo	PERSON
ejpam-6033	213	3	h. sulaiman	PERSON
ejpam-6033	213	4	k. a. al-sharo	PERSON
ejpam-6033	213	5	i. a. i. sulieman	PERSON
ejpam-6033	215	1	8(38):1881–1887, 2013	DATE
ejpam-6033	216	1	a. m. alotaibiang	PERSON
ejpam-6033	216	2	k. al-tahat	PERSON
ejpam-6033	216	3	k. m. al-jamal	PERSON
ejpam-6033	217	1	j. pure	PERSON
ejpam-6033	217	2	18	CARDINAL
ejpam-6033	217	3	3	CARDINAL
ejpam-6033	217	4	2025	CARDINAL
ejpam-6033	217	5	6033 8 of 8	DATE
ejpam-6033	218	1	15	CARDINAL
ejpam-6033	218	2	k. a. al-sharo	PERSON
ejpam-6033	218	3	i. a. i. suleiman	PERSON
ejpam-6033	220	1	mathematica hungarica	PERSON
ejpam-6033	220	2	134(1–2):162–168	DATE
ejpam-6033	220	3	2012	DATE