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Mathematics of the USSR-Izvestiya, 1987, Volume 28, Issue 2, Pages 401–411
DOI: https://doi.org/10.1070/IM1987v028n02ABEH000889 (Mi im1484) 		 
This article is cited in 22 scientific papers (total in 23 papers)

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

M. N. Prokhorov
English version PDF (621 kB) Citations (23) Russian version article
References:
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DOI: https://doi.org/10.1070/IM1987v028n02ABEH000889
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.
Bibliographic databases:
UDC: 512
MSC: Primary 51F15; Secondary 20H15, 22E40, 51M10, 51M20, 52A25
Language: English
Original paper language: Russian
Citation: M. N. Prokhorov, “The absence of discrete reflection groups with noncompact fundamental polyhedron of finite volume in Lobachevskii space of large dimension”, Math. USSR-Izv., 28:2 (1987), 401–411
Citation in format AMSBIB
\Bibitem{Pro86}
\by M.~N.~Prokhorov
\paper The absence of discrete reflection groups with noncompact fundamental polyhedron of finite volume in Lobachevskii space of large dimension
\jour Math. USSR-Izv.
\yr 1987
\vol 28
\issue 2
\pages 401--411
\mathnet{http://mi.mathnet.ru//eng/im1484}
\crossref{https://doi.org/10.1070/IM1987v028n02ABEH000889}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=842588}
\zmath{https://zbmath.org/?q=an:0613.51010|0604.51007}
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    • This publication is cited in the following 23 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
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    Abstract page:464
    Russian version PDF:146
    English version PDF:28
    References:66
    First page:2
     
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