Мақаланы E-mail арқылы жіберу Combinatorics of the subshift associated with Grigorchuk’s group
- Авторлар: Grigorchuk R.1,2, Lenz D.3, Nagnibeda T.4
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Мекемелер:
- Department of Mathematics
- Steklov Mathematical Institute of Russian Academy of Sciences
- Institut für Mathematik
- Section de Mathématiques
- Шығарылым: Том 297, № 1 (2017)
- Беттер: 138-144
- Бөлім: Article
- URL: https://journals.rcsi.science/0081-5438/article/view/174597
- DOI: https://doi.org/10.1134/S0081543817040083
- ID: 174597
Дәйексөз келтіру
Ашық рұқсат
Рұқсат берілді
Тек жазылушылар үшін
Аннотация
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.
Авторлар туралы
Rostislav Grigorchuk
Department of Mathematics; Steklov Mathematical Institute of Russian Academy of Sciences
Хат алмасуға жауапты Автор.
Email: grigorch@math.tamu.edu
АҚШ, College Station, TX, 77843-3368; ul. Gubkina 8, Moscow, 119991
Daniel Lenz
Institut für Mathematik
Email: grigorch@math.tamu.edu
Германия, Jena, 07743
Tatiana Nagnibeda
Section de Mathématiques
Email: grigorch@math.tamu.edu
Швейцария, 2-4 rue du Lièvre, Case postale 64, Geneva 4, 1211
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