A Note on Absolute Central Automorphisms of Finite $p$-Groups

Let G be a nite group. The automorphism of a group G is said to be an absolute central automorphism, if for all x 2 G, x^-1x^2 L(G), where L(G) be the absolute centre of G. In this paper, we study some properties of absolute central automorphisms of a given nite p- group.