Criteria for permutability to be transitive in finite groups

被引：43

作者：

Beidleman, JC ^{[1
]}

Brewster, B

Robinson, DJS

机构：

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

[2] SUNY Binghamton, Dept Math, Binghamton, NY 13902 USA

[3] Univ Illinois, Dept Math, Urbana, IL 61801 USA

来源：

JOURNAL OF ALGEBRA | 1999年 / 222卷 / 02期

关键词：

D O I：

10.1006/jabr.1998.7964

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A group G is a PT-group, if. for subgroups H and K with H permutable in K and ii permutable in G, it is always the case that H is permutable in G. It is shown that a finite group is a soluble rr-group if and only if each subgroup of a Sylow subgroup is permutable in the Sylow normalizer. (C) 1999 Academic Press.

引用

页码：400 / 412

页数：13

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