On commuting probabilities in finite groups and rings

Journal of Algebra Combinatorics Discrete Structures and Applications

article

Martin Juras¹  MihailUrsul² 

[1] SCAD;Department of Mathematics, PNG University of Technology

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

DOI  :  10.13069/jacodesmath.1056492

学科分类：社会科学、人文和艺术（综合）

来源: Yildiz Technical University

【 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】

CC BY