SOME CONSEQUENCES OF THE EQUATION [x n , y] = 1 ON THE STRUCTURE OF A COMPACT GROUP

Given an integer $n{\geq}1$ 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...

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Veröffentlicht in:	Journal of the Korean Mathematical Society 2013, Vol.50 (1), p.161-171
Hauptverfasser:	Erfanian, Ahmad, Rezaei, Rashid, Tolue, Behnaz
Format:	Artikel
Sprache:	kor
Online-Zugang:	Volltext
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