April 30, 1987Mathematics of the USSR-Izvestiya

The Absence of Discrete Reflection Groups With Noncompact Fundamental Polyhedron of Finite Volume in Lobachevsky Space of Large Dimension

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Abstract

The following theorem is proved: There are no discrete groups generated by reflections with fundamental polyhedron of finite volume in Lobachevsky space of dimension 995. Bibliography: 8 titles.

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Cite This Study

Mikhail N. Prokhorov (1987) studied this question.

synapsesocial.com/papers/6a8803d72d13770579f4ce71 https://doi.org/10.1070/im1987v028n02abeh000889

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Abstract

The following theorem is proved: There are no discrete groups generated by reflections with fundamental polyhedron of finite volume in Lobachevsky space of dimension 995. Bibliography: 8 titles.