Commuting probability for approximate subgroups of a finite group
Group Theory
2024-04-22 v1 Combinatorics
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).
Keywords
Cite
@article{arxiv.2404.12891,
title = {Commuting probability for approximate subgroups of a finite group},
author = {Eloisa Detomi and Marta Morigi and Pavel Shumyatsky},
journal= {arXiv preprint arXiv:2404.12891},
year = {2024}
}