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

作　　者：Yujian HUANG Yangming LI Shouhong QIAO 

机构地区：[1]Guangdong Industry Technical College, Guangzhou 510300, China [2]Department of Mathematics, Guangdong University of Education,Guangzhou 510310, China [3]Department of Mathematics, Yunnan University, Kunming 650091, China [4]School of Applied Mathematics, Guangdong University of-Technology,Guangzhou 510006, China

出　　处：《Frontiers of Mathematics in China》2013年第4期855-867,共13页中国高等学校学术文摘·数学（英文）

基　　金：This work was supported in part by the National Natural Science Foundation of China （Grant Nos. 11271085, 11201082）, the Natural Science Foundation of Guangdong Province （S2011010004447）, and the Special Project for the Subject Build of High Education of Guangdong Province （2012KJCX0081）.

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 n 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.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 n 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.

关 键 词：s-Permutable subgroup s-permutably embedded subgroup weakly s-permutably embedded subgroup p-nilpotent group 

分 类 号：O152.1[理学—数学] X9-65[理学—基础数学]