Bulletin of the Iranian Mathematical Society

Bulletin of the Iranian Mathematical Society

A generalization of the probability that the commutator of two group elements is equal to a given element

Document Type : Research Paper

Authors
1 Department of Mathematics, University Umm Alqura
2 Department of Mathematics, University of Palermo
Abstract
The probability that the commutator of two group elements is equal to a given element has been introduced in literature few years ago. Several authors have investigated this notion with methods of the representation theory and with combinatorial techniques. Here we illustrate that a wider context may be considered and show some structural restrictions on the group.
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Subjects

Volume 38, Issue 4 - Serial Number 4
December 2012
Pages 973-986

  • Receive Date 01 March 2011
  • Revise Date 14 June 2011
  • Accept Date 14 June 2011