Aldous-type Spectral Gaps in Generalized Symmetric Groups
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866913171872153600 |
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| author | Levhari, Niv Puder, Doron |
| author_facet | Levhari, Niv Puder, Doron |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_22101 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Aldous-type Spectral Gaps in Generalized Symmetric Groups Levhari, Niv Puder, Doron Group Theory Probability Representation Theory 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. |
| title | Aldous-type Spectral Gaps in Generalized Symmetric Groups |
| topic | Group Theory Probability Representation Theory |
| url | https://arxiv.org/abs/2605.22101 |