Virtually free-by-cyclic groups
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2023
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| _version_ | 1866917706381393920 |
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| author | Kielak, Dawid Linton, Marco |
| author_facet | Kielak, Dawid Linton, Marco |
| contents | We obtain a homological characterisation of virtually free-by-cyclic groups among groups that are hyperbolic and virtually compact special. As a consequence, we show that many groups known to be coherent actually possess the stronger property of being virtually free-by-cyclic. In particular, we show that all one-relator groups with torsion are virtually free-by-cyclic, solving a conjecture of Baumslag. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2302_11500 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Virtually free-by-cyclic groups Kielak, Dawid Linton, Marco Group Theory 20F65, 20J06 We obtain a homological characterisation of virtually free-by-cyclic groups among groups that are hyperbolic and virtually compact special. As a consequence, we show that many groups known to be coherent actually possess the stronger property of being virtually free-by-cyclic. In particular, we show that all one-relator groups with torsion are virtually free-by-cyclic, solving a conjecture of Baumslag. |
| title | Virtually free-by-cyclic groups |
| topic | Group Theory 20F65, 20J06 |
| url | https://arxiv.org/abs/2302.11500 |