Post-critically finite self-similar groups

• Published in: Algebra and Discrete Mathematics
• Date: 2003
• ISSN: 1726-3255
• Main Authors: Bondarenko, E., Nekrashevych, V.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2003
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/155721
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Post-critically finite self-similar groups / E. Bondarenko, V. Nekrashevych // Algebra and Discrete Mathematics. — 2003. — Vol. 2, № 4. — С. 21–32. — Бібліогр.: 19 назв. — англ.

We describe in terms of automata theory the automatic actions with post-critically finite limit space. We prove that
 these actions are precisely the actions by bounded automata and
 that any self-similar action by bounded automata is contracting.