$\mathbb{R}$--trees and accessibility over arc-stabilisers
Fuente:
arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866917333413396480 |
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| author | Fioravanti, Elia |
| author_facet | Fioravanti, Elia |
| contents | Let $G\curvearrowright T$ be a minimal action on an $\mathbb{R}$--tree with $G$ finitely presented. Assuming that $G$ is accessible over the family of arc-stabilisers of $T$, we give a description of the point-stabilisers of $T$ in terms of simplicial trees. In particular, these point-stabilisers are finitely generated. This has applications to the study of automorphisms of right-angled Artin groups and special groups. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_11116 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | $\mathbb{R}$--trees and accessibility over arc-stabilisers Fioravanti, Elia Group Theory Geometric Topology Let $G\curvearrowright T$ be a minimal action on an $\mathbb{R}$--tree with $G$ finitely presented. Assuming that $G$ is accessible over the family of arc-stabilisers of $T$, we give a description of the point-stabilisers of $T$ in terms of simplicial trees. In particular, these point-stabilisers are finitely generated. This has applications to the study of automorphisms of right-angled Artin groups and special groups. |
| title | $\mathbb{R}$--trees and accessibility over arc-stabilisers |
| topic | Group Theory Geometric Topology |
| url | https://arxiv.org/abs/2603.11116 |