A note on square-free commuting probabilities of finite rings

DOI10.1142/s0219498824500671arXiv2301.02041OpenAlexW4309325523MaRDI QIDQ6183977

Andrew Mendelsohn

Publication date: 24 January 2024

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2301.02041

zbMATH Keywords

finite ringsfinite nilpotent groupscommuting probabilityisoclinism

Mathematics Subject Classification ID

Finite rings and finite-dimensional associative algebras (16P10) Generalizations of commutativity (associative rings and algebras) (16U80) Finite nilpotent groups, (p)-groups (20D15) Probabilistic methods in group theory (20P05)

Cites Work

• Groups of prime power order. Vol. 1.
• On a lower bound of commutativity degree.
• Isoclinism classes and commutativity degrees of finite groups
• Commuting probabilities of finite groups
• Several Conjectures on Commutativity in Algebraic Structures
• On commuting probabilities in finite groups and rings
• Limit points of commuting probabilities of finite groups

This page was built for publication: A note on square-free commuting probabilities of finite rings