id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ejpam-5120	Alsowait, Nawaf; Heliel, Abdelrahman A.; Al-Shomrani, Mohammed; A. S. Allehyani, Areej	Finite Groups with Certain Weakly S-permutable Subgroups	2024	9	.pdf	application/pdf	5104	334	85	A subgroup H of G is said to be weakly S-permutable in G if G has a subnormal subgroup T such that G = HT and T ∩H ≤ HsG, where HsG is the subgroup of H generated by all those subgroups of H which are S-permutable in G. (11) There exists a proper normal subgroup M of G such that |G/M | = p, G = LT , L ∩ T = (L)sG, where T is a subnormal subgroup of G and T ≤ M < G. By (10), L is not S-permutable in G. Then by the hypothesis, L is weakly S-permutable in G.	cache/ejpam-5120.pdf	txt/ejpam-5120.txt