Combinatorics of the subshift associated with Grigorchuk’s group |
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| Authors: | Rostislav Grigorchuk Daniel Lenz Tatiana Nagnibeda |
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| Institution: | 1.Department of Mathematics,Texas A&M University,College Station,USA;2.Steklov Mathematical Institute of Russian Academy of Sciences,Moscow,Russia;3.Institut für Mathematik,Friedrich-Schiller-Universit?t Jena,Jena,Germany;4.Section de Mathématiques,Université de Genève,Geneva 4,Switzerland |
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| 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. |
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