M. N. Prokhorov, “The absence of discrete reflection groups with noncompact fundamental polyhedron of finite volume in Lobachevskii space of large dimension”, Izv. Akad. Nauk SSSR Ser. Mat., 1986, Volume 50, Issue 2,Pages <nobr>413

This article is cited in 22 papers

The absence of discrete reflection groups with noncompact fundamental polyhedron of finite volume in Lobachevskii space of large dimension

M. N. Prokhorov

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

UDC: 512

MSC: Primary 51F15; Secondary 20H15, 22E40, 51M10, 51M20, 52A25