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JOURNALS // Izvestiya of Saratov University. Mathematics. Mechanics. Informatics // Archive

Izv. Saratov Univ. Math. Mech. Inform., 2010 Volume 10, Issue 3, Pages 14–26 (Mi isu170)

This article is cited in 13 papers

Mathematics

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

L. N. Romakina

Saratov State University, Chair of Geometry

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.

UDC: 514.133+514.17

DOI: 10.18500/1816-9791-2010-10-3-14-26



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