Almost commuting permutations are near commuting permutations
Group Theory
2016-08-08 v2
Abstract
We prove that the commutator is stable in permutations endowed with the Hamming distance, that is, two permutations that almost commute are near two commuting permutations. Our result extends to -tuples of almost commuting permutations, for any given , and allows restrictions, for instance, to even permutations.
Keywords
Cite
@article{arxiv.1410.2626,
title = {Almost commuting permutations are near commuting permutations},
author = {Goulnara Arzhantseva and Liviu Paunescu},
journal= {arXiv preprint arXiv:1410.2626},
year = {2016}
}
Comments
Corrected the definition of the Loeb space; more details in the proof of the main result, Journal of Functional Analysis, Available online 2015