Title : ( Some Consequences of The Equation [xn; y] = 1 on The Structure of a Compack Group )
Authors: Ahmad Erfanian , R. Rezaei , Behnaz Tolue Haghighi ,
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Abstract
Given an integer n >= 1 and a compact group G, we find some restrictions for the probability that two randomly picked elements x^n and y of G commute. In the case n = 1 this notion was investigated by W. H. Gustafson in 1973 and its influence on the structure of the group has been studied in the researches of several authors in last years.
Keywords
, n-th power central elements, commutativity degree, compact groups.
@article{paperid:1032688,
author = {Erfanian, Ahmad and R. Rezaei and Tolue Haghighi, Behnaz},
title = {Some Consequences of The Equation [xn; y] = 1 on The Structure of a Compack Group},
journal = {Journal of the Korean Mathematical Society},
year = {2013},
volume = {50},
number = {1},
month = {May},
issn = {0304-9914},
pages = {161--171},
numpages = {10},
keywords = {n-th power central elements; commutativity degree; compact groups.},
}
%0 Journal Article
%T Some Consequences of The Equation [xn; y] = 1 on The Structure of a Compack Group
%A Erfanian, Ahmad
%A R. Rezaei
%A Tolue Haghighi, Behnaz
%J Journal of the Korean Mathematical Society
%@ 0304-9914
%D 2013
