z kabourtari farimani
m.m nasrabadi

Let G be a nite p-group. In this work we give the necessary and sufficient conditions on G such that each absolute central automorphism of G xes the center element-wise. Also we classify all groups of the orders p3 and p4, whose absolute central automorphisms x the center element-wise.

Absolute center, Absolute central automorphisms, Finite p-groups