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arXiv · 2312.03334

Automorphisms of self-similar trees

Tobias Hartnick·Merlin Incerti-Medici
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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.

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Tobias Hartnick, Merlin Incerti-Medici. 2023-12-06. Automorphisms of self-similar trees. https://arxiv.org/abs/2312.03334

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