On commuting probabilities in finite groups and rings

Authors

DOI:

https://doi.org/10.13069/jacodesmath.1056492

Keywords:

Finite group, Finite ring, Commuting probability, Annihilating probability, Nilpotent group, Nilpotent ring

Abstract

We show that the set of all commuting probabilities in finite rings is a subset of the set of all commuting probabilities in finite nilpotent groups of class $\leq 2$. These two sets are equal when restricted to groups and rings with odd number of elements.

Received: 25 May 2020 | Accepted: 30 September 2021

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Published

2022-01-13

How to Cite

Juras, M., & Ursul, M. . (2022). On commuting probabilities in finite groups and rings. Journal of Algebra Combinatorics Discrete Structures and Applications, 9(1), 9–15. https://doi.org/10.13069/jacodesmath.1056492

Issue

Vol. 9 Issue 1: January 2022

Section

Articles