Uncountably many quasi-isometric torsion-free groups
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866912716206112768 |
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| author | Vankov, Vladimir |
| author_facet | Vankov, Vladimir |
| contents | We construct uncountably many finitely generated, pairwise non-isomorphic torsion-free groups, all of which fall into the same quasi-isometry class. This is done by considering Schur covering groups and group cohomology, with the necessary geometric ingredient coming from the theory of bounded-valued cohomology. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_14277 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Uncountably many quasi-isometric torsion-free groups Vankov, Vladimir Group Theory 20F65 (Primary) 20J05, 51F30 (Secondary) We construct uncountably many finitely generated, pairwise non-isomorphic torsion-free groups, all of which fall into the same quasi-isometry class. This is done by considering Schur covering groups and group cohomology, with the necessary geometric ingredient coming from the theory of bounded-valued cohomology. |
| title | Uncountably many quasi-isometric torsion-free groups |
| topic | Group Theory 20F65 (Primary) 20J05, 51F30 (Secondary) |
| url | https://arxiv.org/abs/2511.14277 |