Email this article Combinatorics of the subshift associated with Grigorchuk’s group
- Authors: Grigorchuk R.1,2, Lenz D.3, Nagnibeda T.4
-
Affiliations:
- Department of Mathematics
- Steklov Mathematical Institute of Russian Academy of Sciences
- Institut für Mathematik
- Section de Mathématiques
- Issue: Vol 297, No 1 (2017)
- Pages: 138-144
- Section: Article
- URL: https://journals.rcsi.science/0081-5438/article/view/174597
- DOI: https://doi.org/10.1134/S0081543817040083
- ID: 174597
Cite item
Open Access
Access granted
Subscription Access
Abstract
We study combinatorial properties of the subshift induced by the substitution that describes Lysenok’s presentation of Grigorchuk’s group of intermediate growth by generators and relators. This subshift has recently appeared in two different contexts: on the one hand, it allowed embedding Grigorchuk’s group in a topological full group, and on the other hand, it was useful in the spectral theory of Laplacians on the associated Schreier graphs.
About the authors
Rostislav Grigorchuk
Department of Mathematics; Steklov Mathematical Institute of Russian Academy of Sciences
Author for correspondence.
Email: grigorch@math.tamu.edu
United States, College Station, TX, 77843-3368; ul. Gubkina 8, Moscow, 119991
Daniel Lenz
Institut für Mathematik
Email: grigorch@math.tamu.edu
Germany, Jena, 07743
Tatiana Nagnibeda
Section de Mathématiques
Email: grigorch@math.tamu.edu
Switzerland, 2-4 rue du Lièvre, Case postale 64, Geneva 4, 1211
Supplementary files
