On quasi-2-transitive actions of branch groups
Group Theory
2021-11-24 v1
Abstract
An action of a group on a set is said to be quasi-n-transitive if the diagonal action of on has only finitely many orbits. We show that branch groups, a special class of groups of automorphisms of rooted trees, cannot act quasi-2-transitively on infinite sets.
Keywords
Cite
@article{arxiv.2111.11967,
title = {On quasi-2-transitive actions of branch groups},
author = {Dominik Francoeur},
journal= {arXiv preprint arXiv:2111.11967},
year = {2021}
}
Comments
18 pages