Post-critically finite self-similar groups
Group Theory
2007-05-23 v1 Metric Geometry
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.
Keywords
Cite
@article{arxiv.math/0701824,
title = {Post-critically finite self-similar groups},
author = {Ievgen Bondarenko and Volodymyr Nekrashevych},
journal= {arXiv preprint arXiv:math/0701824},
year = {2007}
}
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13 pages