\(K\)-loops and Bruck loops on \(\mathbb{R}\times\mathbb{R}\)

DOI10.1007/BF01223807zbMath0788.20035MaRDI QIDQ686658

Alexander Kreuzer

Publication date: 13 October 1993

Published in: Journal of Geometry (Search for Journal in Brave)

zbMATH Keywords

group of automorphismsBruck loops\(K\)-loopsgeneralizations of neardomains

Mathematics Subject Classification ID

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

Related Items (2)

\(K\)-loops from classical groups over ordered fields ⋮ Determination of the automorphism group of a hyperbolic \(K\)-loop

Cites Work

• Examples of finite and infinite \(K\)-loops
• Weakly associative groups
• 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

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