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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
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
Citation:
E. B. Vinberg, “Non-arithmetic hyperbolic reflection groups in higher dimensions”, Mosc. Math. J., 15:3 (2015), 593–602
Linking options:
https://www.mathnet.ru/eng/mmj575 https://www.mathnet.ru/eng/mmj/v15/i3/p593
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Abstract page: | 326 | References: | 70 |
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