Post-critically finite self-similar groups

Details Post-critically finite self-similar groups Post-critically finite self-similar groups

2007-01-28

arxiv.org/abs/math/0701824v1

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

Mathematics

Group Theory

13 pages

Scientific paper

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.

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