Mixability of finite groups
Group Theory
2025-01-30 v1 Probability
Representation Theory
Abstract
Say that a finite group is mixable if a product of random elements, each chosen independently from two options, can distribute uniformly on . We present conditions and obstructions to mixability. We show that -groups, the symmetric groups, the simple alternating groups, several matrix and sporadic simple groups, and most finite Coxeter groups, are mixable. We also provide bounds on the mixing length of such groups.
Cite
@article{arxiv.2501.17806,
title = {Mixability of finite groups},
author = {Gideon Amir and Guy Blachar and Subhajit Ghosh and Uzi Vishne},
journal= {arXiv preprint arXiv:2501.17806},
year = {2025}
}
Comments
35 pages