RGD-systems of type $(4, 4, 4)$ over $\mathbb{F}_2$ and tree products
Fuente:
arXiv
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2025
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866909565414539264 |
|---|---|
| author | Bischof, Sebastian |
| author_facet | Bischof, Sebastian |
| contents | In this paper we prove that the group $U_+$ of an RGD-system of type $(4, 4, 4)$ over $\mathbb{F}_2$ contains a certain tree product as a subgroup. The proof relies on a careful analysis of the action on the associated twin building. This result is part of a larger project and we will use it as an induction start to construct uncountably many RGD-systems of type $(4, 4, 4)$ over $\mathbb{F}_2$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_03577 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | RGD-systems of type $(4, 4, 4)$ over $\mathbb{F}_2$ and tree products Bischof, Sebastian Group Theory 20E42, 20E08 In this paper we prove that the group $U_+$ of an RGD-system of type $(4, 4, 4)$ over $\mathbb{F}_2$ contains a certain tree product as a subgroup. The proof relies on a careful analysis of the action on the associated twin building. This result is part of a larger project and we will use it as an induction start to construct uncountably many RGD-systems of type $(4, 4, 4)$ over $\mathbb{F}_2$. |
| title | RGD-systems of type $(4, 4, 4)$ over $\mathbb{F}_2$ and tree products |
| topic | Group Theory 20E42, 20E08 |
| url | https://arxiv.org/abs/2504.03577 |