Aldous-type Spectral Gaps in Generalized Symmetric Groups
Group Theory
2026-05-22 v1 Probability
Representation Theory
Abstract
We prove an analog of Aldous' spectral gap conjecture in the generalized symmetric groups where is an arbitrary finite group. Moreover, we show that Caputo's extension of the conjecture to hypergraphs transfers to these groups whenever it holds in the ordinary symmetric group.
Cite
@article{arxiv.2605.22101,
title = {Aldous-type Spectral Gaps in Generalized Symmetric Groups},
author = {Niv Levhari and Doron Puder},
journal= {arXiv preprint arXiv:2605.22101},
year = {2026}
}