MathLAB Journal

Various bounds of group of Autocentral Automorphisms

Abstract

Harsha Arora

In this paper, we nd various bounds for the group of all autocentral automorphisms of a nite group G. We consider
the cases, where the group of all autocentral automorphisms coincides with its upper bound, that is, the group of all
central automorphisms and also where it coincides with its lower bound, that is, the group of all inner automorphisms.