E. Bondarenko, V. Nekrashevych, “Post-critically finite self-similar groups”, Algebra Discrete Math., 2003, Issue 4,Pages <nobr>21

This article is cited in 11 papers

RESEARCH ARTICLE

Post-critically finite self-similar groups

E. Bondarenko, V. Nekrashevych^a

^a Kyiv Taras Shevchenko University Mechanics and Mathematics Faculty Algebra Department Volodymyrska, 60, Kyiv, Ukraine, 01033

Abstract: 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.

Language: English