A1 Refereed original research article in a scientific journal

Toeplitz subshift whose automorphism group is not finitely generated



Authors: Ville Salo

Publisher: Instytut Matematyczny PAN

Publishing place: pl. Grunwaldzki 2/4, 50-384 Wrocław

Publication year: 2017

Journal: Colloquium Mathematicum

Journal acronym: CM

Article number: 5

Volume: 146

Issue: 1

First page : 53

Last page: 76

Number of pages: 24

ISSN: 0010-1354

eISSN: 1730-6302

DOI: https://doi.org/10.4064/cm6463-2-2016

Web address : https://www.impan.pl/pl/wydawnictwa/czasopisma-i-serie-wydawnicze/colloquium-mathematicum/all/146/1/91662/toeplitz-subshift-whose-automorphism-group-is-not-finitely-generated

Self-archived copy’s web address: https://research.utu.fi/converis/portal/detail/Publication/18189590


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.


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Last updated on 2024-26-11 at 21:37