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Hyperplane sections of polyhedra, toroidal manifolds, and discrete groups in Lobachevskij space - MaRDI portal

Hyperplane sections of polyhedra, toroidal manifolds, and discrete groups in Lobachevskij space (Q1079190)

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scientific article; zbMATH DE number 3962612
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English
Hyperplane sections of polyhedra, toroidal manifolds, and discrete groups in Lobachevskij space
scientific article; zbMATH DE number 3962612

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    Hyperplane sections of polyhedra, toroidal manifolds, and discrete groups in Lobachevskij space (English)
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    1986
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    The author proofs the following Theorem: In Lobachevskian space of dimension \(>995\) there do not exist discrete groups generated by reflections with fundamental polyhedron of finite volume.
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    intersection of polyhedra by hyperplanes
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    toroidal manifold
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    discrete reflection group
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    Lobachevskij space
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