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,y ? G. We prove that for G a finite p^2-abelian p-central p-group, excluding certain cases, the order of G divides the order of Aut(G).