Toeplitz subshift whose automorphism group is not finitely generated

2014/11/12 by Salo, Ville
#Dynamical Systems (math.DS) #FOS: Mathematics

paper · doi:10.48550/arxiv.1411.3299

Abstract

We compute an explicit representation of the (topological) automorphism group or a particular Toeplitz subshift. The automorphism group is a (non-finitely generated) subgroup of rational numbers under addition and the shift map corresponds to the rational number 1. The group is the additive subgroup of the rational numbers generated by the powers of 5/2.

Related

• Automorphisms of B-free and other Toeplitz shifts
• On automorphism groups of Toeplitz subshifts
• On automorphism groups of low complexity subshifts
• Automorphisms of Toeplitz \mathscrB-free systems
• The stabilized automorphism group of a subshift