Geodesic
Toeplitz subshift whose automorphism group is not finitely generated
Ville Salo1
1 Center for Mathematical Modeling University of Chile Santiago, Chile
Colloquium Mathematicum, Tome 146 (2017) no. 1, pp. 53-76

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We compute an explicit presentation of the (topological) automorphism group of a particular Toeplitz subshift with subquadratic complexity. The automorphism group is a non-finitely generated subgroup of rational numbers, or alternatively the $5$-adic integers, under addition, the shift map corresponding to the rational number 1. The group is $$ (\langle(5/2)^i \mid i \in \mathbb {N}\rangle , +) \leq (\mathbb {Q}, +). $$
DOI : 10.4064/cm6463-2-2016
Keywords: compute explicit presentation topological automorphism group particular toeplitz subshift subquadratic complexity automorphism group non finitely generated subgroup rational numbers alternatively adic integers under addition shift map corresponding rational number group langle mid mathbb rangle leq mathbb

Ville Salo 1

1 Center for Mathematical Modeling University of Chile Santiago, Chile 
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Ville Salo. Toeplitz subshift whose automorphism group is not finitely generated. Colloquium Mathematicum, Tome 146 (2017) no. 1, pp. 53-76. doi: 10.4064/cm6463-2-2016

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