Title of article :
ACENTRALIZERS OF GROUPS OF ORDER p3
Author/Authors :
Mozafar ، Zahra Department of Mathematical Sciences - Isfahan University of Technology , Taeri ، Bijan Department of Mathematical Sciences - Isfahan University of Technology
Abstract :
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^3, where p is a prime number.
Keywords :
Automorphism , Centralizer , Acentralizer , Finite group
Journal title :
Journal of Algebraic Systems
Journal title :
Journal of Algebraic Systems