Rostislav Grigorchuk, Daniel Lenz, Tatiana Nagnibeda, “Combinatorics of the subshift associated with Grigorchuk's group”, Trudy Mat. Inst. Steklova, 2017, Volume 297,Pages <nobr>158

This article is cited in 3 papers

Combinatorics of the subshift associated with Grigorchuk's group

Rostislav Grigorchuk^ab, Daniel Lenz^c, Tatiana Nagnibeda^d

^a Department of Mathematics, Texas A&M University, College Station, TX 77843-3368, USA
^b Steklov Mathematical Institute of Russian Academy of Sciences, ul. Gubkina 8, Moscow, 119991 Russia
^c Institut für Mathematik, Friedrich-Schiller-Universität Jena, 07743 Jena, Germany
^d Section de Mathématiques, Université de Genève, 2-4 rue du Lièvre, Case postale 64, 1211 Geneva 4, Switzerland

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.

UDC: 517.938+512.54

Received: February 19, 2017

DOI: 10.1134/S037196851702008X