A two-dimensional slice through the parameter space of two-generator Kleinian groups

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We describe all real points of the parameter space of two-generator Kleinian groups with a parabolic generator, that is, we describe a certain two-dimensional slice through this space. In order to do this we gather together known discreteness criteria for two-generator groups and present them in the form of conditions on parameters. We complete the description by giving discreteness criteria for groups generated by a parabolic and a $π$-loxodromic elements whose commutator has real trace and present all orbifolds uniformized by such groups.
21 pages, 10 figures

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Group Theory, 30F40 (primary); 20H10, 22E40, 57M60 (secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/106304

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0512441
 http://arxiv.org/abs/math/0512441

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arXiv