A question on partial CAP-subgroups of finite groups

被引：6

作者：

Ballester-Bolinches, Adolfo ^{[1
]}

Esteban-Romero, Ramon ^{[2
]}

Li YangMing ^{[3
]}

机构：

[1] Univ Valencia, Dept Algebra, E-46100 Valencia, Spain

[2] Univ Politecn Valencia, Inst Univ Matemat Pura & Aplicada, Valencia 46022, Spain

[3] Guangdong Univ Educ, Dept Math, Guangzhou 510310, Guangdong, Peoples R China

来源：

SCIENCE CHINA-MATHEMATICS | 2012年 / 55卷 / 05期

基金：

中国国家自然科学基金;

关键词：

finite groups; minimal subgroups; partial cover and avoidance property; saturated formations; COVER-AVOIDING SUBGROUPS; SYLOW SUBGROUPS; MAXIMAL-SUBGROUPS;

D O I：

10.1007/s11425-011-4356-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A subgroup H of a finite group G is a partial CAP-subgroup of G if there is a chief series of G such that H either covers or avoids every chief factor of the series. The structural impact of the partial cover and avoidance property of some distinguished subgroups of a group has been studied by many authors. However, there are still some open questions which deserve an answer. The purpose of the present paper is to give a complete answer to one of these questions.

引用

页码：961 / 966

页数：6

共 11 条

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