Automorphisms of self-similar trees
Group Theory
2023-12-07 v1
Abstract
We explicitly determine the automorphism groups of all self-similar trees (a.k.a. trees with finitely many cone types). We show that any such automorphism group is a direct limit of certain finite products of finite symmetric groups, which are parametrized by a certain deterministic finite automaton.
Cite
@article{arxiv.2312.03334,
title = {Automorphisms of self-similar trees},
author = {Tobias Hartnick and Merlin Incerti-Medici},
journal= {arXiv preprint arXiv:2312.03334},
year = {2023}
}
Comments
37 pages, 3 figures; comments welcome