具有某种扩张的有限群的Coleman自同构

Coleman automorphisms of extensions of the finite groups by some groups

设G是有限特征单群被有限交换群或有限非交换单群的扩张,证明了G的每个Coleman自同构均为内自同构。

Let G be an extension of a finite characteristically simple group by a finite abelian group or a finite non-abelian simple group. It is shown that under some conditions all Coleman automorphism of G is an inner automorphism.