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Algebra i logika, 2003, Volume 42, Number 6, Pages 655–682 (Mi al48)  
This article is cited in 8 scientific papers (total in 8 papers)

Ornament Groups on a Minkowski Plane

R. M. Garipov

M. A. Lavrent'ev Institute of Hydrodynamics
Full-text PDF (273 kB) Citations (8)
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Abstract: We are engaged in classifying up to isomorphism of discrete subgroups of an affine transformation group on a plane (a two-dimensional space) preserving the Minkowski metric. It is proved that, for subgroups that do not coincide with Euclidean ones, the orbit of almost every point is everywhere dense.
Keywords: ornament group, affine transformation groups on a plane, pseudoeuclidean space, Minkowski plane, $Gamma$-equivalence, ergodic map.
Received: 11.01.2002
English version:
Algebra and Logic, 2003, Volume 42, Issue 6, Pages 365–381
DOI: https://doi.org/10.1023/B:ALLO.0000004170.97211.21
Bibliographic databases:
UDC: 512.865.3
Language: Russian
Citation: R. M. Garipov, “Ornament Groups on a Minkowski Plane”, Algebra Logika, 42:6 (2003), 655–682; Algebra and Logic, 42:6 (2003), 365–381
Citation in format AMSBIB
\Bibitem{Gar03}
\by R.~M.~Garipov
\paper Ornament Groups on a~Minkowski Plane
\jour Algebra Logika
\yr 2003
\vol 42
\issue 6
\pages 655--682
\mathnet{http://mi.mathnet.ru/al48}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2048297}
\zmath{https://zbmath.org/?q=an:1052.20036}
\transl
\jour Algebra and Logic
\yr 2003
\vol 42
\issue 6
\pages 365--381
\crossref{https://doi.org/10.1023/B:ALLO.0000004170.97211.21}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-42349105893}
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    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Алгебра и логика Algebra and Logic
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    Abstract page:693
    Full-text PDF :162
    References:58
    First page:1
     
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