Combinatorics of the subshift associated with Grigorchuk’s group
- 作者: Grigorchuk R.1,2, Lenz D.3, Nagnibeda T.4
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隶属关系:
- Department of Mathematics
- Steklov Mathematical Institute of Russian Academy of Sciences
- Institut für Mathematik
- Section de Mathématiques
- 期: 卷 297, 编号 1 (2017)
- 页面: 138-144
- 栏目: Article
- URL: https://journals.rcsi.science/0081-5438/article/view/174597
- DOI: https://doi.org/10.1134/S0081543817040083
- ID: 174597
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详细
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.
作者简介
Rostislav Grigorchuk
Department of Mathematics; Steklov Mathematical Institute of Russian Academy of Sciences
编辑信件的主要联系方式.
Email: grigorch@math.tamu.edu
美国, College Station, TX, 77843-3368; ul. Gubkina 8, Moscow, 119991
Daniel Lenz
Institut für Mathematik
Email: grigorch@math.tamu.edu
德国, Jena, 07743
Tatiana Nagnibeda
Section de Mathématiques
Email: grigorch@math.tamu.edu
瑞士, 2-4 rue du Lièvre, Case postale 64, Geneva 4, 1211
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