Complementarity of subgroups and the structure of finite groups

被引：10

作者：

Guo, XY ^{[1
]}

Shum, KP

机构：

[1] Shanghai Univ, Dept Math, Shanghai 200436, Peoples R China

[2] Chinese Univ Hong Kong, Fac Sci, Shatin, Hong Kong, Peoples R China

来源：

ALGEBRA COLLOQUIUM | 2006年 / 13卷 / 01期

关键词：

complemented subgroups; minimal subgroups; saturated formations;

D O I：

10.1142/S1005386706000034

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider a finite group in which some subgroups are complemented in a special subgroup of a given group. Some new conditions are obtained for a finite group in a formation F containing the class U of finite supersolvable groups. Our results generalize the recent results on the complemented subgroups of finite groups.

引用

页码：9 / 16

页数：8

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