Automorphisms of Toeplitz \mathscrB-free systems

2017/05/19 by Aurelia Bartnicka, Bartnicka, Aurelia
Computer Science · Mathematics · #Cellular Automata and Applications #Mathematical Dynamics and Fractals #semigroups and automata theory

paper · pdf · doi:10.48550/arxiv.1705.07021

Abstract

For each \mathscrB-free subshift given by \mathscrB=\2ⁱb_i\_i∈ℕ, where \b_i\_i∈ℕ is a set of pairwise coprime odd numbers greater than one, it is shown that its automorphism group consists solely of powers of the shift.

Related

• Automorphisms of B-free and other Toeplitz shifts
• Toeplitz subshift whose automorphism group is not finitely generated
• On automorphism groups of Toeplitz subshifts
• The stabilized automorphism group of odometers and of Toeplitz subshifts
• Symmetries of power-free integers in number fields and their shift spaces