c-sections of maximal subgroups of finite groups

被引：5

作者：

Wang, YM ^{[1
]}

Li, SR

机构：

[1] Zhongshan Univ, Dept Math, Guangzhou 510275, Peoples R China

[2] Guangxi Univ, Dept Math, Nanning 530004, Peoples R China

来源：

JOURNAL OF ALGEBRA | 2000年 / 229卷 / 01期

基金：

美国国家科学基金会;

关键词：

c-section; maximal subgroup; solvable groups;

D O I：

10.1006/jabr.2000.8268

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let G be a finite group and let M be a maximal subgroup of G. Let K/L be a chief factor of G such that L less than or equal to M and G = MK. We call the group M boolean AND K/L a c-section of M in G. All c-sections of M are isomorphic. Using the concept of c-sections, we obtain some new characterizations of solvable and pi-solvable groups. (C) 2000 Academic Press.

引用

页码：86 / 94

页数：9

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