關(guān)于Coleman自同構(gòu)的一些結(jié)果.pdf

1、Coleman automorphism occurred first in the study of the normalizer NU(RG)(G) of G in the units U(RG) of RG.In research of the normalizer,when R = Z,the case must be considered specially. Thus the class of groups with (

2、NP)(see Introduction) need to be researched. Through the study of Coleman automorphism, more informations on the group may be obtained. E.C.Dade made enormous researches on Coleman automorphism of a finite group a

3、nd obtained a lot of initial results,especially proved that Coleman outer automorphism group is nilpotent. Recently, M.Hertweck and W. Kimmerle proved that Coleman outer automorphism group is abelian and gave some suffic

4、ient conditions on the group being a p'-group and trivial group. In the paper,Coleman automorphism is further researched and some properties of Coleman automorphism are obtained. Furthermore,by the properties some s

5、ufficient conditions on Coleman outer automorphism group being a p'-group are also obtained,where the sufficient conditions are different from the results of M.Hertweck and W.Kimmerle. By the foregoing results,some concl