On the subcentral automorphisms of finite groups

Abstract

. Let G be a group and let M be a characteristic subgroup of G . We denote by Aut MM ( G ) the set of all automorphisms of G which centralize G/M and M. In this paper, we give necessary and sufficient conditions for the equality of Aut MM ( G ) with Aut M ( G ) and C Aut MM ( G ) ( Z ( G )).