Commuting Probability of Finite Groups (Extended)
Group Theory
2023-08-02 v1
Abstract
The target of this article is to discuss the concept of \textit{commuting probability} of finite groups which, in short, is a probabilistic measure of how abelian our group is. We shall compute the value of commuting probability for many special classes of non-abelian groups and also establish some local and global bounds. We will conclude with a few topics for further reading.
Cite
@article{arxiv.2308.00260,
title = {Commuting Probability of Finite Groups (Extended)},
author = {Snehinh Sen},
journal= {arXiv preprint arXiv:2308.00260},
year = {2023}
}
Comments
18 pages, expository, extended version of an article which appeared in Resonance, Indian Academy of Science