ON ABSOLUTE CENTRAL AUTOMORPHISMS FIXING THE CENTER ELEMENTWISE

Author(s):

Zahra Kaboutari Farimani , Mohammad Mehdi Nasrabadi

Abstract:
Let G be a finite p-group and let Aut_l(G) be the group of absolute central automorphisms of G. In this paper we give necessary and sufficient condition on G such that each absolute central automorphism of G fixes the centre element-wise. Also we classify all groups of orders p^3 and p^4 whose absolute central automorphisms fix the centre element-wise.
Keywords:

absolute centre , absolute central automorphisms , finite p , groups

Language:
English
Published:
Journal of Algebraic Systems, Volume:3 Issue: 2, Winter - Spring 2016
Pages:
127 to 131
https://www.magiran.com/p1595220