Commuting probability for approximate subgroups of a finite group

2024/04/19 by Detomi, Eloisa, Morigi, Marta, Shumyatsky, Pavel · 1 citation
#Combinatorics (math.CO) #FOS: Mathematics #Group Theory (math.GR)

paper · doi:10.48550/arxiv.2404.12891

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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• Commuting probability for conjugate subgroups of a finite group

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