Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2023
|
| Schlagworte: | |
| Online-Zugang: | https://arxiv.org/abs/2305.07113 |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866910328007163904 |
|---|---|
| author | Guba, Victor |
| author_facet | Guba, Victor |
| contents | This is a survey of our recent results on the amenability problem for Thompson's group $F$. They mostly concern esimating the density of finite subgraphs in Cayley graphs of $F$ for various systems of generators, and also equations in the group ring of $F$. We also discuss possible approaches to solve the problem in both directions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2305_07113 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Amenability problem for Thompson's group $F$: state of the art Guba, Victor Group Theory 20F05, 05C25 G.0 This is a survey of our recent results on the amenability problem for Thompson's group $F$. They mostly concern esimating the density of finite subgraphs in Cayley graphs of $F$ for various systems of generators, and also equations in the group ring of $F$. We also discuss possible approaches to solve the problem in both directions. |
| title | Amenability problem for Thompson's group $F$: state of the art |
| topic | Group Theory 20F05, 05C25 G.0 |
| url | https://arxiv.org/abs/2305.07113 |