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Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2010, Volume 10, Issue 3, Pages 14–26
DOI: https://doi.org/10.18500/1816-9791-2010-10-3-14-26 (Mi isu170) 		 
This article is cited in 13 scientific papers (total in 14 papers)

Mathematics

Finite closed 3(4)-loops of extended hyperbolic plane

L. N. Romakina

Saratov State University, Chair of Geometry
Full-text PDF (262 kB) Citations (14)
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DOI: https://doi.org/10.18500/1816-9791-2010-10-3-14-26
Abstract: This article considers finite closed $n$-loops of the extended hyperbolic plane $H^2$. The paper deals with topological and metric properties of the finite closed 3(4)-loops. Pasha statement analogues have been also obtained. We proved the existence of two types 4-loops and convexity of the plain 4-loop.
Key words: finite closed $n$-loop, plain 4-loop, interior of a finite closed isotropic loop, convex finite closed loop.
Document Type: Article
UDC: 514.133+514.17
Language: Russian
Citation: L. N. Romakina, “Finite closed 3(4)-loops of extended hyperbolic plane”, Izv. Saratov Univ. Math. Mech. Inform., 10:3 (2010), 14–26
Citation in format AMSBIB
\Bibitem{Rom10}
\by L.~N.~Romakina
\paper Finite closed 3(4)-loops of extended hyperbolic plane
\jour Izv. Saratov Univ. Math. Mech. Inform.
\yr 2010
\vol 10
\issue 3
\pages 14--26
\mathnet{http://mi.mathnet.ru/isu170}
\crossref{https://doi.org/10.18500/1816-9791-2010-10-3-14-26}
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    • This publication is cited in the following 14 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия Саратовского университета. Новая серия. Серия Математика. Механика. Информатика
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    Full-text PDF :143
    References:51
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