Toeplitz subshift whose automorphism group is not finitely generated
: Ville Salo
Publisher: Instytut Matematyczny PAN
: pl. Grunwaldzki 2/4, 50-384 Wrocław
: 2017
: Colloquium Mathematicum
: CM
: 5
: 146
: 1
: 53
: 76
: 24
: 0010-1354
: 1730-6302
DOI: https://doi.org/10.4064/cm6463-2-2016
: 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
: https://research.utu.fi/converis/portal/detail/Publication/18189590
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.