Post-critically finite self-similar groups

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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.
13 pages

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Group Theory, Metric Geometry, 20E08; 28A80; 39A12

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http://salesiana.dossiersoluciones.com/handle/123456789/122899

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0701824
 http://arxiv.org/abs/math/0701824
 Algebra and Discrete Mathematics, 4: 21-32, 2003

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arXiv