Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2505.23269 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _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 |