Cubulating random quotients of hyperbolic cubulated groups
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2021
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866913266793447424 |
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| author | Futer, David Wise, Daniel T. |
| author_facet | Futer, David Wise, Daniel T. |
| contents | We show that low-density random quotients of cubulated hyperbolic groups are again cubulated (and hyperbolic). Ingredients of the proof include cubical small-cancellation theory, the exponential growth of conjugacy classes, and the statement that hyperplane stabilizers grow exponentially more slowly than the ambient cubical group. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2106_04497 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Cubulating random quotients of hyperbolic cubulated groups Futer, David Wise, Daniel T. Group Theory Geometric Topology 20F65, 20F67, 20P05 We show that low-density random quotients of cubulated hyperbolic groups are again cubulated (and hyperbolic). Ingredients of the proof include cubical small-cancellation theory, the exponential growth of conjugacy classes, and the statement that hyperplane stabilizers grow exponentially more slowly than the ambient cubical group. |
| title | Cubulating random quotients of hyperbolic cubulated groups |
| topic | Group Theory Geometric Topology 20F65, 20F67, 20P05 |
| url | https://arxiv.org/abs/2106.04497 |