On π-S-permutable subgroups of finite groups

被引：0

作者：

A. Ballester-Bolinches

Yangming Li

Ning Su

Zhuoqing Xie

机构：

[1] Guangdong University of Education,Department of Mathematics

[2] Universitat de València,Departament d’Àlgebra

[3] Sun Yat-sen University,Department of Mathematics

来源：

Mediterranean Journal of Mathematics | 2016年 / 13卷

关键词：

Primary 20D10; Secondary 20D15; 20D20; 20D40; Finite group; permutability; S-permutability; S-semipermutability; normal closure;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

Let π be a set of primes. A subgroup H of a finite group G is said to be π-S-permutable in G if H permutes with every Sylow q-subgroup of G for all primes q ∈ π. The main aim of this paper is to establish structural results about the normal closure of π-S-permutable subgroups and p-subgroups permuting with all p′-subgroups for a single prime p. Our results stem from a recent article by Isaacs [5] and subsequent discussions with the authors about it.

引用

页码：93 / 99

页数：6