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Examples of finite and infinite \(K\)-loops

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Publication:686722
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DOI10.1007/BF03322307zbMath0788.20036MaRDI QIDQ686722

Alexander Kreuzer

Publication date: 11 October 1993

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


zbMATH Keywords

examplesBruck loops\(K\)-loopsgeneralization of neardomain


Mathematics Subject Classification ID

Loops, quasigroups (20N05) Near-fields (12K05)


Related Items

Hyperbolic loops over octaves and \(K\)-loops, Abstract space–times and their Lorentz groups, Unit balls, Lorentz boosts, and hyperbolic geometry, Geometry of kinematic \(K\)-loops, \(K\)-loops from classical groups over ordered fields, \(K\)-loops and Bruck loops on \(\mathbb{R}\times\mathbb{R}\), On twisted subgroups and Bol loops of odd order., Symmetric sets with midpoints and algebraically equivalent theories, On \(K\)-loops of finite order, Determination of the automorphism group of a hyperbolic \(K\)-loop



Cites Work

  • Unnamed Item
  • Weakly associative groups
  • Theorie der verallgemeinerten kinematischen Räume. (Theory of generalized kinematic spaces)
  • Zusammenhänge zwischen Fastbereichen, scharf zweifach transitiven Permutationsgruppen und 2-Strukturen mit Rechtecksaxiom
  • On loops of odd order
  • Gewebe und Gruppen. (Topologische Fragen der Differentialgeometrie LXV)
  • Bol loops of order pq
  • Finite Bol loops
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