A geometric construction of the K-loop of a hyperbolic space
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Publication:1904118
DOI10.1007/BF01263454zbMath0845.51002WikidataQ59383319 ScholiaQ59383319MaRDI QIDQ1904118
Heinrich Wefelscheid, Helmut Karzel
Publication date: 2 September 1996
Published in: Geometriae Dedicata (Search for Journal in Brave)
Special relativity (83A05) Loops, quasigroups (20N05) Incidence structures embeddable into projective geometries (51A45) Algebraization in linear incidence geometry (51A25)
Related Items (13)
Reflection geometries over loops ⋮ A geometric environment for building up loops. ⋮ Defect and area in Beltrami-Klein model of hyperbolic geometry ⋮ Relations among certain classes of incidence loops, codes and chain structures. ⋮ Loops with two-sided inverses constructed by a class of regular permutation sets. ⋮ Webs related to \(K\)-loops and reflection structures ⋮ Slid product of loops: a generalization. ⋮ A class of fibered loops related to general hyperbolic planes ⋮ On algebraic structures related to Beltrami-Klein model of hyperbolic geometry ⋮ Connections between loops of exponent 2, reflection structures and complete graphs with parallelism ⋮ In memoriam: Helmut Karzel (1928--2021) ⋮ Centralizers of certain matrices relative to the operation related to a \(K\)-loop ⋮ Relations between the K-loop and the defect of an absolute plane
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- Groups with an involutory antiautomorphism and \(K\)-loops; application to space-time-world and hyperbolic geometry. I
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- Group-like structure underlying the unit ball in real inner product spaces
- Ein gruppentheoretischer Beweis des Satzes von Desargues in der absoluten Axiomatik
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