On CAS-subgroups of finite groups

被引：19

作者：

Wei, Huaquan ^{[1
]}

Wang, Yanming

机构：

[1] Zhongshan Univ, Dept Math, Guangzhou 510275, Peoples R China

[2] Guangxi Teachers Coll, Dept Math, Nanning 530001, Peoples R China

[3] Zhongshan Univ, Lingnan Coll, Guangzhou 510275, Peoples R China

[4] Nanchang Univ, Dept Math, Nachang 330047, Peoples R China

来源：

ISRAEL JOURNAL OF MATHEMATICS | 2007年 / 159卷 / 01期

基金：

中国国家自然科学基金;

关键词：

D O I：

10.1007/s11856-007-0041-7

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We introduce a new subgroup embedding property of a finite group called CAS-subgroup. Using this subgroup property, we determine the structure of finite groups with some CAS-subgroups of Sylow subgroups. Our results unify and generalize some recent theorems on solvability, p-nilpotency and supersolvability of finite groups.

引用

页码：175 / 188

页数：14

共 13 条

[1]

[Anonymous], REND SEM MAT U PADOV

[2]

[Anonymous], 1976, CANAD MATH B, DOI DOI 10.4153/CMB-1976-033-5

[3] NEW CRITERIA FOR THE SOLVABILITY OF FINITE-GROUPS [J].

ARAD, Z ;

WARD, MB .

JOURNAL OF ALGEBRA, 1982, 77 (01) :234-246

[4] On maximal subgroups of Sylow subgroups of finite groups [J].

Asaad, M .

COMMUNICATIONS IN ALGEBRA, 1998, 26 (11) :3647-3652

[5]

Gaschutz W., 1962, ARCH MATH, V13, P418

[6] COVER-AVOID SUBGROUPS IN FINITE SOLVABLE GROUPS [J].

GILLAM, JD .

JOURNAL OF ALGEBRA, 1974, 29 (02) :324-329

[7] CONJUGACY OF ODD ORDER HALL SUBGROUPS [J].

GROSS, F .

BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 1987, 19 :311-319

[8]

Hall P., 1937, J. Lond. Math. Soc., V12, P198

[9]

Huppert B., 1967, GRUNDLEHREN MATH WIS, V134

[10] On c-normality of certain subgroups of prime power order of finite groups [J].

Ramadan, M ;

Mohamed, ME ;

Heliel, AA .

ARCHIV DER MATHEMATIK, 2005, 85 (03) :203-210

← 1 2 →