Commuting Probability of Finite Groups

[摘要] The article aims to discuss the concept of commuting proba­bility for finite groups, which in short, is a measure of how abelian our group is. We shall compute the value of commut­ing probability for many special classes of groups and also es­tablish some local and global bounds. We will conclude with a few topics for further reading.

[学科分类] 社会科学、人文和艺术（综合）

[关键词] Commuting probability;conjugacy classes;probability;group.