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

- Journal title : Journal of the Korean Mathematical Society
- Volume 50, Issue 1, 2013, pp.161-171
- Publisher : The Korean Mathematical Society
- DOI : 10.4134/JKMS.2013.50.1.161

Title & Authors

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

Erfanian, Ahmad; Rezaei, Rashid; Tolue, Behnaz;

Erfanian, Ahmad; Rezaei, Rashid; Tolue, Behnaz;

Abstract

Given an integer and a compact group G, we find some restrictions for the probability that two randomly picked elements and of G commute. In the case 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;

Language

English

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