Automorphisms of self-similar trees

Autor: Hartnick, Tobias, Incerti-Medici, Merlin
Rok vydání: 2023
Předmět:
Druh dokumentu: Working Paper
Popis: 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.
Comment: 37 pages, 3 figures; comments welcome
Databáze: arXiv