|
This article is cited in 3 scientific papers (total in 3 papers)
Lambert Cubes Generating Discrete Reflection Groups
A. A. Felikson Independent University of Moscow
Abstract:
A Lambert cube $Q(\alpha,\beta, \gamma)$ is a combinatorial cube with dihedral angles $\alpha$, $\beta$, and $\gamma$ assigned to the three mutually noncomplanar edges and right angles at the remaining edges. In this paper, we classify the Lambert cubes in $S^3$, $\mathbb{E}^3$ and $\mathbb{H}^3$ such that the group $G_Q$ generated by the reflections with respect to the faces of a cube $Q$ is discrete.
DOI:
https://doi.org/10.4213/mzm14
Full text:
PDF file (287 kB)
References:
PDF file
HTML file
English version:
Mathematical Notes, 2004, 75:2, 250–258
Bibliographic databases:
UDC:
512.817.72+514.174.5 Received: 21.06.2002 Revised: 03.12.2002
Citation:
A. A. Felikson, “Lambert Cubes Generating Discrete Reflection Groups”, Mat. Zametki, 75:2 (2004), 277–286; Math. Notes, 75:2 (2004), 250–258
Citation in format AMSBIB
\Bibitem{Fel04}
\by A.~A.~Felikson
\paper Lambert Cubes Generating Discrete Reflection Groups
\jour Mat. Zametki
\yr 2004
\vol 75
\issue 2
\pages 277--286
\mathnet{http://mi.mathnet.ru/mz14}
\crossref{https://doi.org/10.4213/mzm14}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=2054559}
\zmath{https://zbmath.org/?q=an:1107.52006}
\elib{http://elibrary.ru/item.asp?id=13989469}
\transl
\jour Math. Notes
\yr 2004
\vol 75
\issue 2
\pages 250--258
\crossref{https://doi.org/10.1023/B:MATN.0000015041.51864.b3}
\isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000220006100026}
Linking options:
http://mi.mathnet.ru/eng/mz14https://doi.org/10.4213/mzm14 http://mi.mathnet.ru/eng/mz/v75/i2/p277
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:
-
A. A. Felikson, “Spherical simplices generating discrete reflection groups”, Sb. Math., 195:4 (2004), 585–598
-
Felikson, A, “Euclidean simplices generating discrete reflection groups”, European Journal of Combinatorics, 28:4 (2007), 1056
-
D. A. Derevnin, A. D. Mednykh, “The Volume of the Lambert Cube in Spherical Space”, Math. Notes, 86:2 (2009), 176–186
|
Number of views: |
This page: | 187 | Full text: | 72 | References: | 27 | First page: | 1 |
|