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arXiv · 2605.22101

Aldous-type Spectral Gaps in Generalized Symmetric Groups

Niv Levhari·Doron Puder
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Abstract

We prove an analog of Aldous' spectral gap conjecture in the generalized symmetric groups $G\wr S_n$ where $G$ 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.

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Niv Levhari, Doron Puder. 2026-05-21. Aldous-type Spectral Gaps in Generalized Symmetric Groups. https://arxiv.org/abs/2605.22101

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