Simple Lattices in Products of Davis Complexes
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866913108239319040 |
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| author | Amir, Michal Lazarovich, Nir |
| author_facet | Amir, Michal Lazarovich, Nir |
| contents | Burger and Mozes (1997) constructed the first examples of simple uniform lattices in products of trees. In this paper, we construct simple uniform lattices in products of certain Davis complexes. More precisely, we consider lattices in products of trees and two-dimensional Davis complexes of the right-angled Coxeter group whose defining graph is an odd graph. As part of the proof, we define an analogue of the Burger-Mozes universal groups in this setting, and provide a local criterion for a vertex transitive group to be dense in the universal group. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_09493 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Simple Lattices in Products of Davis Complexes Amir, Michal Lazarovich, Nir Group Theory 20F65, 20E32, 20F67, 20E08 Burger and Mozes (1997) constructed the first examples of simple uniform lattices in products of trees. In this paper, we construct simple uniform lattices in products of certain Davis complexes. More precisely, we consider lattices in products of trees and two-dimensional Davis complexes of the right-angled Coxeter group whose defining graph is an odd graph. As part of the proof, we define an analogue of the Burger-Mozes universal groups in this setting, and provide a local criterion for a vertex transitive group to be dense in the universal group. |
| title | Simple Lattices in Products of Davis Complexes |
| topic | Group Theory 20F65, 20E32, 20F67, 20E08 |
| url | https://arxiv.org/abs/2605.09493 |