A4 Vertaisarvioitu artikkeli konferenssijulkaisussa
SFT covers for actions of the first Grigorchuk group
Tekijät: Grigorchuk, Rostislav; Salo, Ville
Toimittaja: Bezushchak, O.; Drozd, Yu.; Etingof, P.; Futorny, V.; Grigorchuk, R.; Zelmanov, E.
Konferenssin vakiintunut nimi: Ukraine Algebraic Conference
Kustantaja: American Mathematical Society
Julkaisuvuosi: 2025
Lehti: Contemporary Mathematics
Kokoomateoksen nimi: Modern Algebra Volume 2: Groups and Algebras
Vuosikerta: 830
Aloitussivu: 127
Lopetussivu: 158
ISBN: 978-1-4704-7619-9
ISSN: 0271-4132
eISSN: 1098-3627
DOI: https://doi.org/10.1090/conm/830/16562
Julkaisun avoimuus kirjaamishetkellä: Ei avoimesti saatavilla
Julkaisukanavan avoimuus : Osittain avoin julkaisukanava
Verkko-osoite: https://doi.org/10.1090/conm/830/16562
Preprintin osoite: https://arxiv.org/abs/2403.06480
We study symbolic dynamical representations of actions of the first Grigorchuk group G, namely its action on the boundary of the infinite rooted binary tree, its representation in the topological full group of a minimal substitutive Z-shift, and its representation as a minimal system of Schreier graphs. We show that the first system admits an SFT cover, and the latter two systems are conjugate to sofic subshifts on G, but are not of finite type.
Julkaisussa olevat rahoitustiedot:
The first author is supported by the Humboldt Foundation, and expresses his gratitude to the University of Bielefeld. Also, he is supported by the Travel Support for Mathematicians grant MP-TSM-00002045 from the Simons Foundation.
