Finite Stature in Artin groups
Fuente:
arXiv
Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2023
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866917242565820416 |
|---|---|
| author | Jankiewicz, Kasia |
| author_facet | Jankiewicz, Kasia |
| contents | We give criteria for a graph of groups to have finite stature with respect to its collection of vertex groups, in the sense of Huang-Wise. We apply it to the triangle Artin groups that were previously shown to split as a graph of groups. This allows us to deduce residual finiteness, and expands the list of Artin groups known to be residually finite. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2307_15209 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Finite Stature in Artin groups Jankiewicz, Kasia Group Theory Geometric Topology 20F36, 20F65, 20E26 We give criteria for a graph of groups to have finite stature with respect to its collection of vertex groups, in the sense of Huang-Wise. We apply it to the triangle Artin groups that were previously shown to split as a graph of groups. This allows us to deduce residual finiteness, and expands the list of Artin groups known to be residually finite. |
| title | Finite Stature in Artin groups |
| topic | Group Theory Geometric Topology 20F36, 20F65, 20E26 |
| url | https://arxiv.org/abs/2307.15209 |