A local approach to certain classes of finite groups

被引：15

作者：

Ballester-Bolinches, A

Beidleman, JC

Heineken, H

机构：

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

[2] Univ Wurzburg, Inst Math, D-97074 Wurzburg, Germany

[3] Univ Kentucky, Dept Math, Lexington, KY 40506 USA

来源：

COMMUNICATIONS IN ALGEBRA | 2003年 / 31卷 / 12期

关键词：

finite groups; subnormal subgroups; permutability;

D O I：

10.1081/AGB-120024860

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We develop several local approaches for the three classes of finite groups: T-groups (normality is a transitive relation) and PT-groups (permutability is a transitive relation) and PST-groups (S-permutability is a transitive relation). Here a subgroup of a finite group G is S-permutable if it permutes with all the Sylow subgroup of G.

引用

页码：5931 / 5942

页数：12

共 16 条

[11]

Kegel OH., 1962, MATH Z, V78, P205, DOI DOI 10.1007/BF01195169

[12]

ORE O., 1939, Duke Math. J., V5, P431, DOI 10.1215/S0012-7094-39-00537-5

[13] A NOTE ON FINITE GROUPS IN WHICH NORMALITY IS TRANSITIVE [J].