Webs related to \(K\)-loops and reflection structures
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Publication:1969673
DOI10.1007/BF02940865zbMath0951.20052MaRDI QIDQ1969673
Elisabetta Gabrieli, Bokhee Im, Helmut Karzel
Publication date: 19 March 2000
Published in: Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg (Search for Journal in Brave)
Loops, quasigroups (20N05) Differential geometry of webs (53A60) Algebraization in linear incidence geometry (51A25)
Related Items (6)
Loops, reflection structures and graphs with parallelism. ⋮ Loops with two-sided inverses constructed by a class of regular permutation sets. ⋮ Symmetric 2-structures, a classification ⋮ Connections between loops of exponent 2, reflection structures and complete graphs with parallelism ⋮ In memoriam: Helmut Karzel (1928--2021) ⋮ Webs with rotation and reflection properties and their relations with certain loops
Cites Work
- Weakly associative groups
- Symmetrische Permutationsmengen
- On collineation groups generated by Bol reflections
- On \(K\)-loops of finite order
- Determination of the automorphism group of a hyperbolic \(K\)-loop
- Reflection groups and \(K\)-loops
- Reflection geometries over loops
- Point-reflection geometries, geometric K-loops and unitary geometries
- A geometric construction of the K-loop of a hyperbolic space
- Group-like structure underlying the unit ball in real inner product spaces
- Loops as Invariant Sections in Groups, and their Geometry
- Inner mappings of Bruck loops
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