Post-critically finite self-similar groups Academic Article uri icon


  • 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.

published proceedings

  • Algebra and Discrete Mathematics, 4: 21-32, 2003

author list (cited authors)

  • Bondarenko, I., & Nekrashevych, V.

citation count

  • 0

complete list of authors

  • Bondarenko, Ievgen||Nekrashevych, Volodymyr