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Moscow Mathematical Journal, 2015, Volume 15, Number 3, Pages 593–602
DOI: https://doi.org/10.17323/1609-4514-2015-15-3-593-602
(Mi mmj575)
 

This article is cited in 12 scientific papers (total in 12 papers)

Non-arithmetic hyperbolic reflection groups in higher dimensions

E. B. Vinberg

Department of Mechanics and Mathematics, Lomonosov Moscow State University, GSP-1, Leninskie Gory, Moscow, 119991, Russian Federation
Full-text PDF Citations (12)
References:
Abstract: We construct examples of non-arithmetic (non-cocompact) cofinite discrete reflection groups in $n$-dimensional Lobachevsky spaces $L^n$ for all $n\leq12$ and for $n=14,18$.
Key words and phrases: Lobachevsky (hyperbolic) space, discrete group, reflection group, arithmetic group.
Received: October 16, 2014
Bibliographic databases:
Document Type: Article
MSC: 51F15, 22E40
Language: English
Citation: E. B. Vinberg, “Non-arithmetic hyperbolic reflection groups in higher dimensions”, Mosc. Math. J., 15:3 (2015), 593–602
Citation in format AMSBIB
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\by E.~B.~Vinberg
\paper Non-arithmetic hyperbolic reflection groups in higher dimensions
\jour Mosc. Math.~J.
\yr 2015
\vol 15
\issue 3
\pages 593--602
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\crossref{https://doi.org/10.17323/1609-4514-2015-15-3-593-602}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3427439}
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  • This publication is cited in the following 12 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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