On a free group of transformations defined by an automaton

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We prove that three automorphisms of the rooted binary tree defined by a certain 3-state automaton generate a free non-Abelian group of rank 3.
19 pages, 4 figures

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Group Theory, 20E05; 20E08

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http://salesiana.dossiersoluciones.com/handle/123456789/107482

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0601231
 http://arxiv.org/abs/math/0601231

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arXiv