On weakly s-permutably embedded subgroups of finite groups (II)

被引：0
作者：
Yujian Huang
Yangming Li
Shouhong Qiao
机构：
[1] Guangdong Industry Technical College,Department of Mathematics
[2] Guangdong University of Education,Department of Mathematics
[3] Yunnan University,School of Applied Mathematics
[4] Guangdong University of Technology,undefined
来源：
Frontiers of Mathematics in China | 2013年 / 8卷
关键词：
-Permutable subgroup; -permutably embedded subgroup; weakly ; -permutably embedded subgroup; -nilpotent group; 20D10; 20D15;
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摘要：
Suppose that G is a finite group and H is a subgroup of G. H is said to be s-permutably embedded in G if for each prime p dividing |H|, a Sylow p-subgroup of H is also a Sylow p-subgroup of some s-permutable subgroup of G; H is called weakly s-permutably embedded in G if there are a subnormal subgroup T of G and an s-permutably embedded subgroup Hse of G contained in H such that G = HT and H ∩ T ⩽ Hse. In this paper, we continue the work of [Comm. Algebra, 2009, 37: 1086–1097] to study the influence of the weakly s-permutably embedded subgroups on the structure of finite groups, and we extend some recent results.
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页码：855 / 867
页数：12
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