Title : ( On the center of automorphism group of a group )
Authors: .M. Farrokhi D. G , Mohammad Reza Rajabzadeh Moghaddam ,
Full TextAbstract
Abstract. If the centre of a group G is trivial, then so is the centre of its automorphism group. We study the structure of the centre of the automorphism group of a group G when the centre of G is a cyclic group. In particular, it is shown that the exponent of Z(Aut(G)) is less than or equal to the exponent of Z(G) in this case.
Keywords
, automorphism group, centre, p-group, primitive root.
@article{paperid:1065624,
author = {.M. Farrokhi D. G and Rajabzadeh Moghaddam, Mohammad Reza},
title = {On the center of automorphism group of a group},
journal = {Bulletin of Australian Mathematical Society},
year = {2015},
volume = {92},
number = {4},
month = {November},
issn = {0004-9727},
pages = {390--396},
numpages = {6},
keywords = {automorphism group; centre; p-group; primitive root.},
}
%0 Journal Article
%T On the center of automorphism group of a group
%A .M. Farrokhi D. G
%A Rajabzadeh Moghaddam, Mohammad Reza
%J Bulletin of Australian Mathematical Society
%@ 0004-9727
%D 2015
