Incommensurable lattices in Baumslag-Solitar complexes
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2022
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| _version_ | 1866917612149014528 |
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| author | Forester, Max |
| author_facet | Forester, Max |
| contents | This paper concerns locally finite 2-complexes $X_{m,n}$ which are combinatorial models for the Baumslag-Solitar groups $BS(m,n)$. We show that, in many cases, the locally compact group Aut($X_{m,n}$) contains incommensurable uniform lattices. The lattices we construct also admit isomorphic Cayley graphs and are finitely presented, torsion-free, and coherent. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2207_14703 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Incommensurable lattices in Baumslag-Solitar complexes Forester, Max Group Theory Geometric Topology 20E08, 20F65 This paper concerns locally finite 2-complexes $X_{m,n}$ which are combinatorial models for the Baumslag-Solitar groups $BS(m,n)$. We show that, in many cases, the locally compact group Aut($X_{m,n}$) contains incommensurable uniform lattices. The lattices we construct also admit isomorphic Cayley graphs and are finitely presented, torsion-free, and coherent. |
| title | Incommensurable lattices in Baumslag-Solitar complexes |
| topic | Group Theory Geometric Topology 20E08, 20F65 |
| url | https://arxiv.org/abs/2207.14703 |