$\mathbb{R}$--trees and accessibility over arc-stabilisers

Elia Fioravanti

$\mathbb{R}$--trees and accessibility over arc-stabilisers

Group Theory 2026-03-13 v1 Geometric Topology

Authors: Elia Fioravanti

Abstract

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.

Keywords

automorphism groups wreath product of groups group theory

Cite

@article{arxiv.2603.11116,
  title  = {$\mathbb{R}$--trees and accessibility over arc-stabilisers},
  author = {Elia Fioravanti},
  journal= {arXiv preprint arXiv:2603.11116},
  year   = {2026}
}

Comments

16 pages; previously an appendix to arXiv:2501.12321, split off at the editor's request for separate publication

$\mathbb{R}$--trees and accessibility over arc-stabilisers

Abstract

Keywords

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