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.
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页码：5931 / 5942
页数：12
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