Rank 1 phenomena for 1-relator and deficiency 1 groups
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2025
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| Acceso en línea: | |
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| _version_ | 1866918162502516736 |
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| author | Button, J O |
| author_facet | Button, J O |
| contents | We examine second bounded cohomology and mod p homology in finite index subgroups of 1-relator groups and groups with a presentation of deficiency at least one. We use this to determine exactly which 1-relator groups are boundedly generated, as well as the groups of deficiency at least one up to a class of groups that conjecturally do not exist. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_15469 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Rank 1 phenomena for 1-relator and deficiency 1 groups Button, J O Group Theory We examine second bounded cohomology and mod p homology in finite index subgroups of 1-relator groups and groups with a presentation of deficiency at least one. We use this to determine exactly which 1-relator groups are boundedly generated, as well as the groups of deficiency at least one up to a class of groups that conjecturally do not exist. |
| title | Rank 1 phenomena for 1-relator and deficiency 1 groups |
| topic | Group Theory |
| url | https://arxiv.org/abs/2510.15469 |