Commuting probability and simultaneous conjugacy classes of commuting tuples in a group

Abstract

Let $G$ be a finite group. This expository article explores the subject of commuting probability in the group $G$ and its relation with simultaneous conjugacy classes of commuting tuples in $G$. We also point out the relevance of this topic in context of topology where similar problems are studied when $G$ is a Lie group.

Cited by in corpus (1)

• Asymptotics of commuting probabilities in reductive algebraic groups