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

Mathematics – Group Theory

Scientific paper

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To appear in Bull. Iranian Math. Soc. with some revisions

Scientific paper

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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