Cover-avoidance properties and the structure of finite groups

被引：89

作者：

Guo, XY ^{[1
]}

Shun, KP

机构：

[1] Shanxi Univ, Dept Math, Taiyuan 030006, Shanxi, Peoples R China

[2] Chinese Univ Hong Kong, Dept Math, Shatin, Hong Kong, Peoples R China

来源：

JOURNAL OF PURE AND APPLIED ALGEBRA | 2003年 / 181卷 / 2-3期

关键词：

D O I：

10.1016/S0022-4049(02)00327-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We call a subgroup A of a finite group G a CAP-subgroup of G if for any chief factor H/K of G, we have H boolean AND A = K boolean AND A or HA = KA. In this paper, some characterizations for a finite group to be solvable are obtained under the assumption that some of its maximal subgroups or 2-maximal subgroups be CAP-subgroups. We also determine the p-solvability and p-nilpotency of finite groups by considering their CAP-subgroups. (C) 2003 Elsevier Science B.V. All rights reserved.

引用

页码：297 / 308

页数：12

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