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Funktsional. Anal. i Prilozhen., 1981, Volume 15, Issue 2, Pages 67–68 (Mi faa1713)  

This article is cited in 5 scientific papers (total in 6 papers)

Brief communications

Absence of crystallographic groups of reflections in Lobachevskii spaces of large dimension

È. B. Vinberg


Full text: PDF file (286 kB)
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English version:
Functional Analysis and Its Applications, 1981, 15:2, 128–130

Bibliographic databases:

UDC: 513.015.7
Received: 04.12.1980

Citation: È. B. Vinberg, “Absence of crystallographic groups of reflections in Lobachevskii spaces of large dimension”, Funktsional. Anal. i Prilozhen., 15:2 (1981), 67–68; Funct. Anal. Appl., 15:2 (1981), 128–130

Citation in format AMSBIB
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\by \`E.~B.~Vinberg
\paper Absence of crystallographic groups of reflections in Lobachevskii spaces of large dimension
\jour Funktsional. Anal. i Prilozhen.
\yr 1981
\vol 15
\issue 2
\pages 67--68
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\mathscinet{http://www.ams.org/mathscinet-getitem?mr=617472}
\zmath{https://zbmath.org/?q=an:0462.51013|0468.51006}
\transl
\jour Funct. Anal. Appl.
\yr 1981
\vol 15
\issue 2
\pages 128--130
\crossref{https://doi.org/10.1007/BF01082285}
\isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=A1981MU34400008}


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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. È. B. Vinberg, “Hyperbolic reflection groups”, Russian Math. Surveys, 40:1 (1985), 31–75  mathnet  crossref  mathscinet  zmath  adsnasa  isi
    2. A. G. Khovanskii, “Hyperplane sections of polyhedra, toroidal manifolds, and discrete groups in Lobachevskii space”, Funct. Anal. Appl., 20:1 (1986), 41–50  mathnet  crossref  mathscinet  zmath  isi
    3. D. V. Alekseevskii, V. O. Bugaenko, G. I. Olshanskii, V. L. Popov, O. V. Schwarzman, “Érnest Borisovich Vinberg (on his 60th birthday)”, Russian Math. Surveys, 52:6 (1997), 1335–1343  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi
    4. V. V. Nikulin, “Finiteness of the number of arithmetic groups generated by reflections in Lobachevsky spaces”, Izv. Math., 71:1 (2007), 53–56  mathnet  crossref  crossref  mathscinet  zmath  isi  elib
    5. V. V. Nikulin, “On Ground Fields of Arithmetic Hyperbolic Reflection Groups. II”, Mosc. Math. J., 8:4 (2008), 789–812  mathnet  crossref  mathscinet  zmath
    6. Viacheslav V. Nikulin, “Self-correspondences of K3 surfaces via moduli of sheaves and arithmetic hyperbolic reflection groups”, Proc. Steklov Inst. Math., 273 (2011), 229–237  mathnet  crossref  mathscinet  zmath  isi  elib
  • Функциональный анализ и его приложения Functional Analysis and Its Applications
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