Subgroups of bounded rank in hyperbolic 3-manifold groups
Fuente:
arXiv
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| Auteur principal: | |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866910394804600832 |
|---|---|
| author | Biringer, Ian |
| author_facet | Biringer, Ian |
| contents | We prove a finiteness theorem for subgroups of bounded rank in hyperbolic $3$-manifold groups. As a consequence, we show that every bounded rank covering tower of closed hyperbolic $3$-manifolds is a tower of finite covers associated to a fibration over a $1$-orbifold. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_01328 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Subgroups of bounded rank in hyperbolic 3-manifold groups Biringer, Ian Geometric Topology 57K32 We prove a finiteness theorem for subgroups of bounded rank in hyperbolic $3$-manifold groups. As a consequence, we show that every bounded rank covering tower of closed hyperbolic $3$-manifolds is a tower of finite covers associated to a fibration over a $1$-orbifold. |
| title | Subgroups of bounded rank in hyperbolic 3-manifold groups |
| topic | Geometric Topology 57K32 |
| url | https://arxiv.org/abs/2401.01328 |