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Mathematics > Group Theory

Title: Commuting probability for approximate subgroups of a finite group

Authors: Eloisa Detomi, Marta Morigi, Pavel Shumyatsky
(Submitted on 19 Apr 2024)
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).
Subjects: Group Theory (math.GR); Combinatorics (math.CO)
Cite as: arXiv:2404.12891 [math.GR]
  (or arXiv:2404.12891v1 [math.GR] for this version)

Submission history

From: Pavel Shumyatsky [view email]
[v1] Fri, 19 Apr 2024 13:50:49 GMT (12kb)
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