Point-reflection geometries, geometric K-loops and unitary geometries

DOI10.1007/BF03322525zbMath0922.51006OpenAlexW2005523127MaRDI QIDQ1377199

Elisabetta Gabrieli, Helmut Karzel

Publication date: 5 October 1999

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

Full work available at URL: https://doi.org/10.1007/bf03322525

zbMATH Keywords

loopsreflection structures

Mathematics Subject Classification ID

Loops, quasigroups (20N05) Reflection groups, reflection geometries (51F15)

Related Items (9)

Reflection geometries over loops ⋮ The reflection structures of generalized co-Minkowski spaces leading to \(K\)-loops ⋮ Web loops and webs with reflections ⋮ Webs related to \(K\)-loops and reflection structures ⋮ A class of fibered loops related to general hyperbolic planes ⋮ Symmetric sets with midpoints and algebraically equivalent theories ⋮ Affine extensions of loops. ⋮ Properties of reflection geometries and the corresponding group spaces ⋮ In memoriam: Helmut Karzel (1928--2021)

Cites Work

• Unnamed Item
• Fibered indidence loops and kinematic loops
• Reflection groups and \(K\)-loops
• Recent developments on absolute geometries and algebraization by K-loops
• Die Dualität von Inzidenz und Senkrechtstehen in der absoluten Geometrie
• Zur Begründung der Geometrie aus dem Spiegelungsbegriff

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