The Thue-Morse substitutions and self-similar groups and algebras

• Datum: 2023
• Hauptverfasser: Bartholdi, L., Caballero, J. M. R., Ahmed, T.
• Format: Artikel
• Sprache: English
• Veröffentlicht: Lugansk National Taras Shevchenko University 2023
• Schlagworte: self-similar groups; self-similar algebras; Thue-Morse sequence; 11B85; 16S34; 20E08
• Online Zugang: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1597
• Назва журналу: Algebra and Discrete Mathematics

We introduce self-similar algebras and groups closely related to the Thue-Morse sequence, and begin their investigation by describing a~character on them, the `spread' character.