Virtual First Betti Number of GGS Groups
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2025
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866915312454074368 |
|---|---|
| author | Ng, Andrew |
| author_facet | Ng, Andrew |
| contents | We observe a criterion for groups to have vanishing virtual first Betti number and use it to give infinitely many examples of torsion-free, finitely generated, residually finite groups which aren't virtually diffuse. This answers a question raised by Kionke and Raimbault. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_23269 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Virtual First Betti Number of GGS Groups Ng, Andrew Group Theory We observe a criterion for groups to have vanishing virtual first Betti number and use it to give infinitely many examples of torsion-free, finitely generated, residually finite groups which aren't virtually diffuse. This answers a question raised by Kionke and Raimbault. |
| title | Virtual First Betti Number of GGS Groups |
| topic | Group Theory |
| url | https://arxiv.org/abs/2505.23269 |