Generic groups acting on regular trees

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Let T be a k-regular tree (k>2) and A its automorphism group. We analyze a generic finitely generated subgroup Gamma of A. We show that Gamma is free and establish a trichotomy on the closure of Gamma: it is either discrete, compact or has index at most 2 in A.
17 pages, 2 figures

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Group Theory, 20E08; 05C25; 20B15; 20D35

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http://salesiana.dossiersoluciones.com/handle/123456789/124624

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0702736
 http://arxiv.org/abs/math/0702736

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arXiv