Coleman automorphisms of holomorphs of completely reducible and almost simple groups |
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Authors: | Zhengxing Li |
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Institution: | 1.School of Mathematics and Statistics,Qingdao University,Qingdao,China |
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Abstract: | 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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