Two-Generator Arithmetic Kleinian Groups II
نویسندگان
چکیده
منابع مشابه
Computing arithmetic Kleinian groups
Arithmetic Kleinian groups are arithmetic lattices in PSL2(C). We present an algorithm that, given such a group Γ, returns a fundamental domain and a finite presentation for Γ with a computable isomorphism.
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We give a complete list of orbifolds uniformised by discrete nonelementary two-generator subgroups of PSL(2, C) without invariant plane whose generators and their commutator have real traces. Mathematics Subject Classification (2000): Primary: 57M12; Secondary: 30F40, 22E40, 57M50.
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We prove that there are only finitely many arithmetic Kleinian maximal reflection groups. Mathematics Subject Classification (2000). Primary 30F40; Secondary 57M.
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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 twodimensional 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...
متن کاملA Special Class of 2-generator Kleinian Groups
In this article we continue investigation of a special class of 2-generator Kleinian groups in which neither of the generators nor their com-mutator is strictly loxodromic. We give necessary and suucient conditions for discreteness of non-elementary and non-Fuchsian groups of this class generated by two hyperbolic elements.
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ژورنال
عنوان ژورنال: Bulletin of the London Mathematical Society
سال: 1998
ISSN: 0024-6093
DOI: 10.1112/s0024609397004359