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

zbMath1297.20073arXiv1004.0934MaRDI QIDQ2249200

Ahmad Mohammed Alghamdi, Francesco G. Russo

Publication date: 9 July 2014

Published in: Bulletin of the Iranian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1004.0934

zbMATH Keywords

characterscommutatorscommutativity degreesprobabilities of commuting pairsrelative nilpotency degrees

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Finite nilpotent groups, (p)-groups (20D15) Commutator calculus (20F12) Probabilistic methods in group theory (20P05)

Related Items (3)

The probability that a pair of group elements is autoconjugate. ⋮ Strong subgroup commutativity degree and some recent problems on the commuting probabilities of elements and subgroups ⋮ Unnamed Item

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