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arXiv · 2404.12891

Commuting probability for approximate subgroups of a finite group

Eloisa Detomi·Marta Morigi·Pavel Shumyatsky
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Abstract

For subsets X,Y of a finite group G, we write Pr(X,Y) for the probability that two random elements x in X and y in Y commute. This paper addresses the relation between the structure of an approximate subgroup A of G and the probabilities Pr(A,G) and Pr(A,A).

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Eloisa Detomi, Marta Morigi, Pavel Shumyatsky. 2024-04-19. Commuting probability for approximate subgroups of a finite group. https://arxiv.org/abs/2404.12891

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