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
收藏
页码：86 / 94
页数：9
相关论文
共 50 条
12345