Hyperbolic groups containing subgroups of type $\mathscr{F}_{3}$ not $\mathscr{F}_{4}$
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arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2021
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| _version_ | 1866916388018323456 |
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| author | Isenrich, Claudio Llosa Martelli, Bruno Py, Pierre |
| author_facet | Isenrich, Claudio Llosa Martelli, Bruno Py, Pierre |
| contents | We give examples of hyperbolic groups which contain subgroups that are of type $\mathscr{F}_{3}$ but not of type $\mathscr{F}_{4}$. These groups are obtained by Dehn filling starting from a non-uniform lattice in ${\rm PO}(8,1)$ which was previously studied by Italiano, Martelli and Migliorini. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2112_06531 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Hyperbolic groups containing subgroups of type $\mathscr{F}_{3}$ not $\mathscr{F}_{4}$ Isenrich, Claudio Llosa Martelli, Bruno Py, Pierre Group Theory Geometric Topology 20F67 (Primary), 20F65, 57M07, 20J05, 20F05 (Secondary) We give examples of hyperbolic groups which contain subgroups that are of type $\mathscr{F}_{3}$ but not of type $\mathscr{F}_{4}$. These groups are obtained by Dehn filling starting from a non-uniform lattice in ${\rm PO}(8,1)$ which was previously studied by Italiano, Martelli and Migliorini. |
| title | Hyperbolic groups containing subgroups of type $\mathscr{F}_{3}$ not $\mathscr{F}_{4}$ |
| topic | Group Theory Geometric Topology 20F67 (Primary), 20F65, 57M07, 20J05, 20F05 (Secondary) |
| url | https://arxiv.org/abs/2112.06531 |