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arXiv:1004.0934 [math.GR]AbstractReferencesReviewsResources

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

Ahmad M. A. Alghamdi, Francesco G. Russo

Published 2010-04-06, updated 2013-02-16Version 5

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.

Comments: To appear in Bull. Iranian Math. Soc. with some revisions
Journal: Bull. Iranian Math. Soc. 38 (2012), 973-986
Categories: math.GR, math.RT
Subjects: 20P05, 20D60
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