THE ABSENCE OF DISCRETE REFLECTION GROUPS WITH NONCOMPACT FUNDAMENTAL POLYHEDRON OF FINITE VOLUME IN LOBACHEVSKY SPACE OF LARGE DIMENSION

DOI10.1070/IM1987v028n02ABEH000889zbMath0613.51010OpenAlexW2120217408MaRDI QIDQ4720314

M. N. Prokhorov

Publication date: 1987

Published in: Mathematics of the USSR-Izvestiya (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/im1987v028n02abeh000889

zbMATH Keywords

Lobachevskij spacediscrete groups of reflectionsfundamental polyhedron of finite volume

Mathematics Subject Classification ID

Hyperbolic and elliptic geometries (general) and generalizations (51M10) Other geometric groups, including crystallographic groups (20H15) Reflection groups, reflection geometries (51F15)

Related Items (5)

CoxIter – Computing invariants of hyperbolic Coxeter groups ⋮ Relatively hyperbolic Coxeter groups with maximal flats of codimension one ⋮ Right-angled polyhedra and hyperbolic 3-manifolds ⋮ Compact hyperbolic Coxeter four-dimensional polytopes with eight facets ⋮ On hyperbolic Coxeter polytopes with mutually intersecting facets

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