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

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dc.creatorKlimenko, Elena
dc.creatorKopteva, Natalia
dc.date2005-12-19
dc.date.accessioned2026-07-07T06:55:31Z
dc.date.available2026-07-07T06:55:31Z
dc.descriptionWe 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.
dc.description21 pages, 10 figures
dc.identifierhttps://arxiv.org/abs/math/0512441
dc.identifierhttp://arxiv.org/abs/math/0512441
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/106304
dc.subjectGroup Theory
dc.subject30F40 (primary); 20H10, 22E40, 57M60 (secondary)
dc.titleA two-dimensional slice through the parameter space of two-generator Kleinian groups
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