Geometry of kinematic \(K\)-loops

DOI10.1007/BF02953325zbMath0852.20062MaRDI QIDQ1913328

Yanyan Li

Publication date: 8 December 1996

Published in: Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg (Search for Journal in Brave)

zbMATH Keywords

automorphismsloopscommutative subgroupsincidence spaces with parallelismright and left geometries

Mathematics Subject Classification ID

Loops, quasigroups (20N05) Linear incidence geometric structures with parallelism (51A15)

Related Items (8)

A class of finite simple Bol loops of exponent 2 ⋮ A geometric construction of the K-loop of a hyperbolic space ⋮ \(K\)-loops from classical groups over ordered fields ⋮ The defect in an invariant reflection structure ⋮ Algebraic Bol loops ⋮ A class of fibered loops related to general hyperbolic planes ⋮ Affine extensions of loops. ⋮ On \(K\)-loops of finite order

Cites Work

• Examples of finite and infinite \(K\)-loops
• Weakly associative groups
• On \(K\)-loops of finite order
• The holomorphic automorphism group of the complex disk
• Zusammenhänge zwischen Fastbereichen, scharf zweifach transitiven Permutationsgruppen und 2-Strukturen mit Rechtecksaxiom
• On loops of odd order
• Bol Loops
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