Tiling in some nonpositively curved groups
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866909038101397504 |
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| author | MacManus, Joseph Mineh, Lawk |
| author_facet | MacManus, Joseph Mineh, Lawk |
| contents | We prove that acylindrically hyperbolic groups are monotileable. That is, every finite subset of the group is contained in a finite tile. This provides many new examples of monotileable groups, and progress on the question of whether every group is monotileable. In particular, one-relator groups and many Artin groups are monotileable. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_09545 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Tiling in some nonpositively curved groups MacManus, Joseph Mineh, Lawk Group Theory 20F65, 05B45, 05C25, 20F67 We prove that acylindrically hyperbolic groups are monotileable. That is, every finite subset of the group is contained in a finite tile. This provides many new examples of monotileable groups, and progress on the question of whether every group is monotileable. In particular, one-relator groups and many Artin groups are monotileable. |
| title | Tiling in some nonpositively curved groups |
| topic | Group Theory 20F65, 05B45, 05C25, 20F67 |
| url | https://arxiv.org/abs/2401.09545 |