Coleman automorphisms of standard wreath products of finite abelian groups by 2-closed groups

被引：5

作者：

Li, Zhengxing ^{[1
]}

Hai, Jinke ^{[1
]}

机构：

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

来源：

PUBLICATIONES MATHEMATICAE-DEBRECEN | 2013年 / 82卷 / 3-4期

基金：

中国国家自然科学基金;

关键词：

Coleman automorphism; integral group ring; the normalizer property; INTEGRAL GROUP-RINGS; NORMALIZER PROPERTY;

D O I：

10.5486/PMD.2013.5356

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let G be the standard wreath product of a finite abelian group by a 2-closed group (a group having a normal Sylow 2-subgroup). It is shown that every Coleman automorphism of G is an inner automorphism. As an immediate consequence of this result, we obtain that the normalizer property holds for such G.

引用

页码：599 / 605

页数：7

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