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...
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 |
Similar Items
-
Gelfand pairs associated with the action of graph automaton groups
by: Matteo Cavaleri, et al.
Published: (2023-06-01) -
Faithful group actions and Schreier graphs
by: M. Fedorova
Published: (2018-01-01) -
Fragile words and Cayley type transducers
by: Daniele D'Angeli, et al.
Published: (2018-09-01) -
On the Affine Weyl group of type A˜n−1
by: Muhammad A. Albar
Published: (1987-01-01) -
Some remarks on the algebraic structure of the finite Coxeter group F4
by: Muhammad A. Albar, et al.
Published: (1999-01-01)