Reflection geometries over loops

DOI10.1007/BF03322524zbMath0922.51007OpenAlexW2154659816MaRDI QIDQ1377198

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/bf03322524

zbMATH Keywords

loopsreflection structures

Mathematics Subject Classification ID

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

Related Items (4)

Web loops and webs with reflections ⋮ Loops with two-sided inverses constructed by a class of regular permutation sets. ⋮ Webs related to \(K\)-loops and reflection structures ⋮ In memoriam: Helmut Karzel (1928--2021)

Cites Work

• Unnamed Item
• Fibered indidence loops and kinematic loops
• On \(K\)-loops of finite order
• Reflection groups and \(K\)-loops
• Point-reflection geometries, geometric K-loops and unitary geometries
• The maximal sub near-field of a near-domain
• Recent developments on absolute geometries and algebraization by K-loops
• A geometric construction of the K-loop of a hyperbolic space
• Zusammenhänge zwischen Fastbereichen, scharf zweifach transitiven Permutationsgruppen und 2-Strukturen mit Rechtecksaxiom
• Conditions of finiteness on sharply 2-transitive groups
• Über eine scharf 3-fach transitiven Gruppen zugeordnete algebraische Struktur

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