Coleman automorphisms of holomorphs of completely reducible and almost simple groups

被引：0
|
作者：
Zhengxing Li
机构：
[1] Qingdao University,School of Mathematics and Statistics
来源：
Proceedings - Mathematical Sciences | 2018年 / 128卷
关键词：
Coleman automorphism; completely reducible group; almost simple group; the normalizer conjecture; 20D45; 20C05;
D O I：
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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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