The Influence of CAP*-Subgroups on the Solvability of Finite Groups

被引：0

作者：

Liu, Jianjun ^{[1
]}

Guo, Xiuyun ^{[2
]}

Li, Shirong ^{[3
]}

机构：

[1] Southwest Univ, Sch Math & Stat, Chongqing 400715, Peoples R China

[2] Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China

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

来源：

BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY | 2012年 / 35卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Frattini chief factor; solvable group; cover-avoiding property; AVOIDING MAXIMAL-SUBGROUPS;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A subgroup H of a group G is said to be a CAP*-subgroup of a group G if, for any non-Frattini chief factor K/L of G, we have HK = HL or H boolean AND K = H boolean AND L. In this paper; some new characterizations for finite solvable groups are obtained based on the assumption that sonic subgroups are CAP*-subgroups of G.

引用

页码：227 / 237

页数：11

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