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.
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页码：599 / 605
页数：7
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