S-semiembedded subgroups of finite groups

被引：4

作者：

Mao, Yuemei ^{[1
,2
]}

Mahboob, Abid ^{[1
]}

Guo, Wenbin ^{[1
]}

机构：

[1] Univ Sci & Technol China, Sch Math Sci, Hefei 230026, Peoples R China

[2] Univ Datong, Sch Math & Comp, Datong 037009, Peoples R China

来源：

FRONTIERS OF MATHEMATICS IN CHINA | 2015年 / 10卷 / 06期

基金：

高等学校博士学科点专项科研基金; 中国国家自然科学基金;

关键词：

s-Permutable subgroup; s-semipermutable subgroup; supersoluble group; S-semiembedded subgroup; p-nilpotent group; SYLOW P-SUBGROUPS; MINIMAL SUBGROUPS;

D O I：

10.1007/s11464-015-0465-z

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A subgroup H of a finite group G is said to be s-semipermutable in G if it is permutable with every Sylow p-subgroup of G with (p, |H|) = 1. We say that a subgroup H of a finite group G is S-semiembedded in G if there exists an s-permutable subgroup T of G such that TH is s-permutable in G and T a (c) H a (c) 1/2 , where is an s-semipermutable subgroup of G contained in H. In this paper, we investigate the influence of S-semiembedded subgroups on the structure of finite groups.

引用

页码：1401 / 1413

页数：13

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