Limit points in the range of the commuting probability function on finite groups

DOI10.1515/jgt-2012-0040zbMath1280.20070arXiv1207.0760OpenAlexW1988718724MaRDI QIDQ2842797

Peter V. Hegarty

Publication date: 16 August 2013

Published in: Journal of Group Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1207.0760

zbMATH Keywords

finite groupslimit pointscommuting probabilityrandom pairs of elements

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Combinatorial probability (60C05) Probabilistic methods in group theory (20P05)

Related Items (9)

On commuting probabilities in finite groups and rings ⋮ Commuting probabilities of finite groups ⋮ Limit points of commuting probabilities of finite groups ⋮ Characterization and commuting probability of n-centralizer finite rings ⋮ Strong subgroup commutativity degree and some recent problems on the commuting probabilities of elements and subgroups ⋮ Finite groups with five relative commutativity degrees ⋮ SCHUR’S COLOURING THEOREM FOR NONCOMMUTING PAIRS ⋮ Unnamed Item ⋮ Probabilistically nilpotent groups

Cites Work

• What is the probability that two elements of a finite group commute?
• Groups of prime power order with many conjugacy classes
• Isoclinism classes and commutativity degrees of finite groups
• On the commuting probability in finite groups.
• Two Combinatorial Problems in Group Theory
• Lower bounds for the number of conjugacy classes of finite groups
• Several Conjectures on Commutativity in Algebraic Structures
• What is the Probability that Two Group Elements Commute?
• A CHARACTERISATION OF CERTAIN FINITE GROUPS OF ODD ORDER

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