A characterization of high transitivity for groups acting on trees
Group Theory
2022-09-05 v4 Dynamical Systems
Abstract
We establish a sharp sufficient condition for groups acting on trees to be highly transitive when the action on the tree is minimal of general type. This gives new examples of highly transitive groups, including icc non-solvable Baumslag-Solitar groups, thus answering a question of Hull and Osin.
Cite
@article{arxiv.2003.11116,
title = {A characterization of high transitivity for groups acting on trees},
author = {Pierre Fima and François Le Maître and Soyoung Moon and Yves Stalder},
journal= {arXiv preprint arXiv:2003.11116},
year = {2022}
}
Comments
63 pages