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