On commuting probabilities in finite groups and rings

Journal of Algebra Combinatorics Discrete Structures and Applications

关键词: Finite group, Finite ring, Commuting probability, Annihilating probability, Nilpotent group, Nilpotent ring;   

DOI  :  

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown