Graph automaton groups

In this paper we define a way to get a bounded invertible automaton starting from a finite graph. It turns out that the corresponding automaton group is regular weakly branch over its commutator subgroup, contains a free semigroup on two elements and is amenable of exponential growth. We also highli...

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Bibliographic Details
Main Authors: Matteo Cavaleri, Daniele D’Angeli, Alfredo Donno, Emanuele Rodaro
Format: Article
Language:English
Published: Aracne 2021-12-01
Series:Advances in Group Theory and Applications
Subjects:
Online Access:http://www.advgrouptheory.com/journal/Files/click_url.php?id=Volumes/11/CavaleriDAngeliDonnoRodaro.pdf