Title : ( The probability that a pair of group elements is autoconjugate )
Authors: Mohammad Reza Rajabzadeh Moghaddam , esmat mottaghi , M. A. Rostamyari ,
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Abstract
Abstract. Let g and h be arbitrary elements of a given finite group G. Then g and h are said to be autoconjugate if there exists some automorphism α of G such that h = g α . In this article, we construct some sharp bounds for the probability that two random elements of G are autoconjugate, denoted by Pa(G)Pa(G). It is also shown that Pa(G)|G|Pa(G)|G| depends only on the autoisoclinism class of G.
Keywords
, Autoconjugate, autoisoclinism, autocommutator subgroup, autocentre
@article{paperid:1068736,
author = {Rajabzadeh Moghaddam, Mohammad Reza and Mottaghi, Esmat and M. A. Rostamyari},
title = {The probability that a pair of group elements is autoconjugate},
journal = {Proceedings of the Indian Academy of Sciences - Mathematical Sciences},
year = {2016},
volume = {126},
number = {1},
month = {February},
issn = {0253-4142},
pages = {61--68},
numpages = {7},
keywords = {Autoconjugate; autoisoclinism; autocommutator subgroup; autocentre},
}
%0 Journal Article
%T The probability that a pair of group elements is autoconjugate
%A Rajabzadeh Moghaddam, Mohammad Reza
%A Mottaghi, Esmat
%A M. A. Rostamyari
%J Proceedings of the Indian Academy of Sciences - Mathematical Sciences
%@ 0253-4142
%D 2016
