Zahra Mozafar - Department of Mathematical Sciences, Isfahan University of Technology, P. O. Box ۸۴۱۵۶-۸۳۱۱۱, Isfahan, Iran.
Bijan Taeri - Department of Mathematical Sciences, Isfahan University of Technology, P. O. Box ۸۴۱۵۶-۸۳۱۱۱, Isfahan, Iran.

‎Suppose that G is a finite group. ‎The acentralizer C_G(\alpha) of an automorphism \alpha of G‎,‎is defined as the subgroup of fixed points of \alpha‎, ‎that is C_G(\alpha)= \{g \in G \mid \alpha(g)=g\}‎.‎In this paper we determine the acentralizers of groups of order p^۳‎, ‎where p is a prime number.

Automorphism, Centralizer, Acentralizer, Finite group