%0 Journal Article %T The automorphism group for p-central p-groups %A Anitha Thillaisundaram %J International Journal of Group Theory %D 2012 %I University of Isfahan %X A p-group is p-central if the central quotient has exponent p, and G is (p^2)-abelian if (xy)^{p^{2}}=(x^{p^2})(y^{p^2}) for all x,y in 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) . %K automorphism group %K p-central %K (p^2)-abelian %U http://www.theoryofgroups.ir/?_action=showPDF&article=745&_ob=3af64e999e5c9266e6ec3a1c2db53152&fileName=full_text.pdf