Commensurated hyperbolic subgroups
Fuente:
arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2023
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| _version_ | 1866913328396238848 |
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| author | Lazarovich, Nir Margolis, Alex Mj, Mahan |
| author_facet | Lazarovich, Nir Margolis, Alex Mj, Mahan |
| contents | We show that if H is a non-elementary hyperbolic commensurated subgroup of infinite index in a hyperbolic group G, then H is virtually a free product of hyperbolic surface groups and free groups. We prove that whenever a one-ended hyperbolic group H is a fiber of a non-trivial hyperbolic bundle then H virtually splits over a 2-ended subgroup. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2309_13644 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Commensurated hyperbolic subgroups Lazarovich, Nir Margolis, Alex Mj, Mahan Group Theory Geometric Topology 20F65, 20F67 We show that if H is a non-elementary hyperbolic commensurated subgroup of infinite index in a hyperbolic group G, then H is virtually a free product of hyperbolic surface groups and free groups. We prove that whenever a one-ended hyperbolic group H is a fiber of a non-trivial hyperbolic bundle then H virtually splits over a 2-ended subgroup. |
| title | Commensurated hyperbolic subgroups |
| topic | Group Theory Geometric Topology 20F65, 20F67 |
| url | https://arxiv.org/abs/2309.13644 |