On Teichmüller spaces of Koebe groups

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In this paper we parametrize the Teichmüller spaces of constructible Koebe groups, that is Kleinian group that arise as covering of $2-$orbifolds determined by certain normal subgroups of their fundamental groups. We also study the covering spaces of the Teichmüller spaces of those Koebe groups. Finally we prove an isomorphisms theorem similar to the Bers-Greenberg theorem for Fuchsian groups. Our method yields a technique to compute explictly generators of Koebe groups, possibly by programming a computer.
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Geometric Topology, Algebraic Geometry

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http://salesiana.dossiersoluciones.com/handle/123456789/152959

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9502202
 http://arxiv.org/abs/math/9502202

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arXiv