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arXiv · 2308.00260

Commuting Probability of Finite Groups (Extended)

Snehinh Sen
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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.

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Snehinh Sen. 2023-08-01. Commuting Probability of Finite Groups (Extended). https://doi.org/10.1007/s12045-023-1585-5

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