The normalizer property for integral group rings of finite solvable T-groups

被引：14

作者：

Li, Zhengxing ^{[1
]}

Hai, Jinke ^{[1
]}

机构：

[1] Qingdao Univ, Coll Math, Qingdao 266071, Peoples R China

来源：

JOURNAL OF GROUP THEORY | 2012年 / 15卷 / 02期

基金：

中国国家自然科学基金;

关键词：

COLEMAN AUTOMORPHISMS;

D O I：

10.1515/JGT.2011.105

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A group is said to be a T-group if all its subnormal subgroups are normal. Let G be a finite solvable T-group. It is shown that the normalizer property holds for G. As a direct consequence of our result, we obtain that the normalizer property holds for finite groups all of whose Sylow subgroups are cyclic.

引用

页码：237 / 243

页数：7

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