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- 2016
关于有限群Coleman自同构的一个注记
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Abstract:
摘要： 设G为有限群,KG且K为非交换单群,若G/K为交换群或非交换单群, 则G的每个Coleman自同构为内自同构,即OutCol(G)=1。特别地,这样的有限群G具有正规化子性质。
Abstract: Let K be a normal subgroup of a finite group G and K be a non-abelian simple group. If G/K is a abelian group or a non-abelian simple group. It is shown that every Coleman automorphism of G is an inner automorphism, that is, OutCol(G)=1. In particular, the normalizer property holds for G
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