Title of article :
acentralizers of groups of order p3
Author/Authors :
mozafar, zahra isfahan university of technology - department of mathematical sciences, isfahan, iran , taeri, bijan isfahan university of technology - department of mathematical sciences, isfahan, iran
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