Cubulating a free-product-by-cyclic group
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2022
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| _version_ | 1866913920178978816 |
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| author | Dahmani, François S, Suraj Krishna M |
| author_facet | Dahmani, François S, Suraj Krishna M |
| contents | Let $G = H_1 * ... * H_k * F_r$ be a torsion-free group and $ϕ$ an automorphism of $G$ that preserves this free factor system. We show that when $ϕ$ is fully irreducible and atoroidal relative to this free factor system, the mapping torus $Γ= G \rtimes_ϕ \mathbb{Z}$ acts relatively geometrically on a hyperbolic CAT(0) cube complex. This is a generalisation of a result of Hagen and Wise for hyperbolic free-by-cyclic groups. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2212_09869 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Cubulating a free-product-by-cyclic group Dahmani, François S, Suraj Krishna M Group Theory 20F65, 20E36, 20E08, 20F67 Let $G = H_1 * ... * H_k * F_r$ be a torsion-free group and $ϕ$ an automorphism of $G$ that preserves this free factor system. We show that when $ϕ$ is fully irreducible and atoroidal relative to this free factor system, the mapping torus $Γ= G \rtimes_ϕ \mathbb{Z}$ acts relatively geometrically on a hyperbolic CAT(0) cube complex. This is a generalisation of a result of Hagen and Wise for hyperbolic free-by-cyclic groups. |
| title | Cubulating a free-product-by-cyclic group |
| topic | Group Theory 20F65, 20E36, 20E08, 20F67 |
| url | https://arxiv.org/abs/2212.09869 |