Commensurability and locally free Kleinian groups

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We show that there exist infinitely many commensurability classes of finite volume hyperbolic 3-manifolds whose fundamental group contains a subgroup which is locally free but not free. The main technical tool is the fact that a collection of hyperbolic 3-manifolds of bounded volume contains infinitely many commensurability classes. The result then by an application of Thurston's hyperbolization theorem for Haken 3-manifolds.
14 pages

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Geometric Topology, 57M50, 30F40, 20E25

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http://salesiana.dossiersoluciones.com/handle/123456789/78260

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9903138
 http://arxiv.org/abs/math/9903138

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arXiv