关于有限群的Coleman自同构群的一个注记

A Note on Coleman Automorphism Groups of Finite Groups

有限群G的Coleman外自同构群OutCol(G)是否为p′-群这个问题是在研究整群环的同构问题时产生的。研究结果得到了一些OutCol(G)是p′-群的充分条件。

The problem whether the outer Coleman automorphism group Outcot （G） of a finite group G is a p＇- group arose naturally from the Isomorphism Problem for integral group rings. In this note, some sufficient conditions for Outcot（G） being a p＇-group are obtained.