ON ABSOLUTE CENTRAL AUTOMORPHISMS FIXING THE CENTER ELEMENTWISE

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.

کلیدواژه ها:

Absolute center ، Absolute central automorphisms ، Finite p-groups