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Mathematics of the USSR-Izvestiya, 1971, Volume 5, Issue 5, Pages 1083–1119
DOI: https://doi.org/10.1070/IM1971v005n05ABEH001203
(Mi im2148)
 

This article is cited in 68 scientific papers (total in 69 papers)

Discrete linear groups generated by reflections

È. B. Vinberg
References:
Abstract: We investigate linear groups generated by reflections in the faces of a convex polyhedral cone and operating discretely on an open convex cone. These groups generalize the discrete groups of motions in simply connected spaces of constant curvature, generated by reflection. Like the latter, they turn out to be Coxeter groups.
Received: 16.06.1970
Bibliographic databases:
UDC: 519.45
MSC: Primary 20H15, 50C15; Secondary 52F05, 52A25, 50C20
Language: English
Original paper language: Russian
Citation: È. B. Vinberg, “Discrete linear groups generated by reflections”, Math. USSR-Izv., 5:5 (1971), 1083–1119
Citation in format AMSBIB
\Bibitem{Vin71}
\by \`E.~B.~Vinberg
\paper Discrete linear groups generated by reflections
\jour Math. USSR-Izv.
\yr 1971
\vol 5
\issue 5
\pages 1083--1119
\mathnet{http://mi.mathnet.ru//eng/im2148}
\crossref{https://doi.org/10.1070/IM1971v005n05ABEH001203}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=302779}
\zmath{https://zbmath.org/?q=an:0247.20054}
Linking options:
  • https://www.mathnet.ru/eng/im2148
  • https://doi.org/10.1070/IM1971v005n05ABEH001203
  • https://www.mathnet.ru/eng/im/v35/i5/p1072
  • This publication is cited in the following 69 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
    Statistics & downloads:
    Abstract page:1131
    Russian version PDF:458
    English version PDF:67
    References:83
    First page:3
     
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