A Limited Group Of Cluster Ring, Some Results Of Automorphism Group

Based on the existing results in the literature, further research on automorphism of integral group ring theory is carried on in this paper and the work of the following respects are worked: In chapter l,we introduce the relevant basic concepts of automorphism of integral group ring theory and demonstrate some basic conclusions.In chapter2, we disscuss some special subgroups of the automorphism group on integral group ring.In chapter3,we discuss the closure of automorphism of integral group ring for finite direct product. We prove that normalized automorphism group NA(G) is not close for direct product of finite group,but the group Autz(G) consist of automorphisms which have induced inner automorphisms of finite group is close.In chapter4, we get the two sufficient conditions of a finite group to be a E.R.group.We prove that suppose P is sylow-p subgroup of G and P is a cyclic group, G’≤P,then G is a E.R. group.Our results extend a famous theroy.