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

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
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Zusammenfassung: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 the researches of several authors in last years.
ISSN:0304-9914