有限特征单群被某些有限群扩展的Coleman自同构

Pub Date : 2021-11-08 DOI:10.1142/s1005386721000444

J. Hai, Lele Zhao

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引用次数: 0

摘要

设[公式:见文]是由一个阿贝尔群或一个有限简单群对一个有限特征简单群的扩展。证明了[公式:见文]的每一个Coleman自同构都是一个内自同构。对这类自同构的兴趣源于对整群环的归一化问题的研究。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Coleman Automorphisms of Extensions of Finite Characteristically Simple Groups by Some Finite Groups

Let [Formula: see text] be an extension of a finite characteristically simple group by an abelian group or a finite simple group. It is shown that every Coleman automorphism of [Formula: see text] is an inner automorphism. Interest in such automorphisms arises from the study of the normalizer problem for integral group rings.

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