Minimal order semigroups with specified commuting probability.

DOI10.1007/s00233-013-9530-7zbMath1314.20046OpenAlexW2084014626MaRDI QIDQ741644

Stephen M. Buckley

Publication date: 12 September 2014

Published in: Semigroup Forum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00233-013-9530-7

zbMATH Keywords

finite semigroupsnilpotent semigroupscommuting probabilitynoncommuting sums

Mathematics Subject Classification ID

General structure theory for semigroups (20M10) Arithmetic functions; related numbers; inversion formulas (11A25) Probabilistic methods in group theory (20P05)

Cites Work

• What is the probability that two elements of a finite group commute?
• Almost Commutative Semigroups
• What is the Probability that Two Group Elements Commute?
• Commutativity in Finite Rings
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