The congruence subgroup property for mapping class groups and the residual finiteness of hyperbolic groups
Fuente:
arXiv
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2024
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866915032077434880 |
|---|---|
| author | Wilton, Henry Sisto, Alessandro |
| author_facet | Wilton, Henry Sisto, Alessandro |
| contents | Assuming that every hyperbolic group is residually finite, we prove the congruence subgroup property for mapping class groups of hyperbolic surfaces of finite type. Under the same assumption, it follows that profinitely equivalent hyperbolic 3-manifolds are commensurable. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_00556 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The congruence subgroup property for mapping class groups and the residual finiteness of hyperbolic groups Wilton, Henry Sisto, Alessandro Group Theory Geometric Topology Assuming that every hyperbolic group is residually finite, we prove the congruence subgroup property for mapping class groups of hyperbolic surfaces of finite type. Under the same assumption, it follows that profinitely equivalent hyperbolic 3-manifolds are commensurable. |
| title | The congruence subgroup property for mapping class groups and the residual finiteness of hyperbolic groups |
| topic | Group Theory Geometric Topology |
| url | https://arxiv.org/abs/2410.00556 |