Automorphisms of self-similar trees
arXiv:2312.03334
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.
37 pages, 3 figures; comments welcome