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.

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

Russo F
Primo
2012-01-01

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.
2012
262
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11581/490042
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