A question on partial CAP-subgroups of finite groups

被引：7

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

[1] On second maximal subgroups of Sylow subgroups of finite groups [J].

Ballester-Bolinches, A. ;

Ezquerro, Luis M. ;

Skiba, Alexander N. .

JOURNAL OF PURE AND APPLIED ALGEBRA, 2011, 215 (04) :705-714

[2] Local Embeddings of Some Families of Subgroups of Finite Groups [J].

Ballester-Bolinches, A. ;

Ezquerro, Luis M. ;

Skiba, Alexander N. .

ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2009, 25 (06) :869-882

[3]

Ballester-Bolinches A., 2006, Mathematics and Its Applications, V1st ed

[4]

Doerk K., 1992, DEGRUYTER EXPOSITION, V4

[5]

EZQUERRO L. M., 1993, REND SEMIN MAT U PAD, V89, P161

[6]

Fan Y., 2006, CHINESE ANN MATH A, V27A, P169

[7] On finite groups with some semi cover-avoiding subgroups [J].

Guo, Xiu Yun ;

Wang, Li Li .

ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2007, 23 (09) :1689-1696

[8]

Huppert B., 1982, GRUND MATH WISS, V243

[9]

Huppert B., 1967, GRUND MATH WISS, V134

[10] On Cover-Avoiding Subgroups of Sylow Subgroups of Finite Groups [J].

Li, Yangming .

RENDICONTI DEL SEMINARIO MATEMATICO DELLA UNIVERSITA DI PADOVA, 2010, 123 :249-258

← 1 2 →