Relations between the K-loop and the defect of an absolute plane

DOI10.1007/BF03323031zbMath1088.51004OpenAlexW2058455686MaRDI QIDQ2581112

Mario Marchi, Helmut Karzel

Publication date: 13 January 2006

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf03323031

zbMATH Keywords

reflectionsabsolute planeK-loop

Mathematics Subject Classification ID

Loops, quasigroups (20N05) Absolute planes in metric geometry (51F05)

Related Items (5)

A geometric environment for building up loops. ⋮ Defect and area in Beltrami-Klein model of hyperbolic geometry ⋮ The defect in an invariant reflection structure ⋮ On algebraic structures related to Beltrami-Klein model of hyperbolic geometry ⋮ In memoriam: Helmut Karzel (1928--2021)

Cites Work

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• The defect in an invariant reflection structure
• Theory of K-loops
• Recent developments on absolute geometries and algebraization by K-loops
• A geometric construction of the K-loop of a hyperbolic space
• Introduction of measures for segments and angles in a general absolute plane

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