Commuting Probability of Finite Groups (Extended)

The target of this article is to discuss the concept of $\mathit{\text{commuting}}\mathit{\text{probability}}$ 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.