Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
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SOME CONSEQUENCES OF THE EQUATION [xn, y] = 1 ON THE STRUCTURE OF A COMPACT GROUP

  • Erfanian, Ahmad (Department of Mathematics Center of Excellence in Analysis on Algebraic Structures Ferdowsi University of Mashhad) ;
  • Rezaei, Rashid (Department of Mathematics Faculty of Sciences Malayer University) ;
  • Tolue, Behnaz (Department of Mathematics Ferdowsi University of Mashh)
  • Received : 2012.01.25
  • Published : 2013.01.01
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Abstract

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.

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References

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