Finite groups with a system of nilpotent subgroups

被引：0

作者：

Li, SR ^{[1
]}

Dark, RS

机构：

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

[2] Natl Univ Ireland, Dept Math, Galway, Ireland

来源：

ALGEBRA COLLOQUIUM | 2005年 / 12卷 / 02期

关键词：

finite group; nilpotent subgroup; solvable group;

D O I：

10.1142/S1005386705000180

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let G be a finite group and p an odd prime. Let psi(p)*(G) be the set of proper subgroups M of G with vertical bar G : M vertical bar not a prime power and vertical bar G : M vertical bar(p) = 1. In this paper, we investigate the structure of G if every member of psi(p)*(G) is nilpotent. In particular, a new characterization of PSL(2, 7) is obtained. The proof of the theorem depends on the classification of finite simple groups.

引用

页码：199 / 204

页数：6

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