Coleman automorphisms of holomorphs of completely reducible and almost simple groups

被引：0
|
作者：
Li, Zhengxing [1 ]
机构：
[1] Qingdao Univ, Sch Math & Stat, Qingdao 266071, Peoples R China
来源：
PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES | 2018年 / 128卷 / 05期
基金：
中国国家自然科学基金; 高等学校博士学科点专项科研基金;
关键词：
Coleman automorphism; completely reducible group; almost simple group; the normalizer conjecture;
D O I：
10.1007/s12044-018-0432-1
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let H be the holomorph of a finite group G. It is proved that every Coleman automorphism of H is inner whenever G is either completely reducible or almost simple; in particular, this is the case when G is either characteristically simple or simple. As an application, we obtain the normalizer the conjecture holds for integral group rings of holomorphs of such groups in question.
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页数：9
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