The automorphism group for p-central p-groups

A p-group G is p-central if G^{p}\le Z(G)‎, ‎and G is‎ ‎p^{۲}-abelian if (xy)^{p^{۲}}=x^{p^{۲}}y^{p^{۲}} for all x,y\in‎ ‎G‎. ‎We prove that for G a finite p^{۲}-abelian p-central‎ ‎p-group‎, ‎excluding certain cases‎, ‎the order of G divides the‎ ‎order of \text{Aut}(G)‎.

کلیدواژه ها:

automorphism group ، p-central ، (p^۲)-abelian