Non-contracting groups generated by (3,2)-automata

• Veröffentlicht in: Algebra and Discrete Mathematics
• Datum: 2014
• Hauptverfasser: Davis, N., Elder, M., Reeves, L.
• Format: Artikel
• Sprache: English
• Veröffentlicht: Інститут прикладної математики і механіки НАН України 2014
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/152338
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Zitieren: Non-contracting groups generated by (3,2)-automata / N. Davis, M. Elder, L. Reeves // Algebra and Discrete Mathematics. — 2014. — Vol. 17, № 1. — С. 20–32. — Бібліогр.: 4 назв. — англ.

We add to the classification of groups generated by 3-state automata over a 2-letter alphabet given by Bondarenko et al., by showing that a number of the groups in the classification are non-contracting. We show that the criterion we use to prove a self-similar action is non-contracting also implies...