THE AUTOMORPHISM GROUP FOR P-CENTRAL P-GROUPS

Abstract

A p-group G is p-central if G p Z(G), and G is p 2 -abelian if (xy) p 2 = x p 2 y p 2 for all x;y2 G. We prove that for G a nite p 2 -abelian p-central p-group, excluding certain cases, the order of G divides the order of Aut(G).