A cubical Rips construction
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2022
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866916540465545216 |
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| author | Arenas, Macarena |
| author_facet | Arenas, Macarena |
| contents | Given a finitely presented group $Q$ and a compact special cube complex $X$ with non-elementary hyperbolic fundamental group, we produce a non-elementary, torsion-free, cocompactly cubulated hyperbolic group $Γ$ that surjects onto $Q$, with kernel isomorphic to a quotient of $G=π_1 X$ and such that $max\{cd(G),2\}\geq cd(Γ)\geq cd(G)-1$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2202_01048 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | A cubical Rips construction Arenas, Macarena Group Theory Geometric Topology Given a finitely presented group $Q$ and a compact special cube complex $X$ with non-elementary hyperbolic fundamental group, we produce a non-elementary, torsion-free, cocompactly cubulated hyperbolic group $Γ$ that surjects onto $Q$, with kernel isomorphic to a quotient of $G=π_1 X$ and such that $max\{cd(G),2\}\geq cd(Γ)\geq cd(G)-1$. |
| title | A cubical Rips construction |
| topic | Group Theory Geometric Topology |
| url | https://arxiv.org/abs/2202.01048 |