Loops, their cores and symmetric spaces

DOI10.1007/BF02780335zbMath0909.20052OpenAlexW2047167050MaRDI QIDQ1264293

Karl Strambach, Péter T. Nagy

Publication date: 26 January 1999

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02780335

zbMATH Keywords

symmetric spacesMoufang loopsBol loopsanalytical loopscores of loopsdifferentiable 3-netsdifferentiable loopsHausdorff-Campbell formula

Mathematics Subject Classification ID

Loops, quasigroups (20N05) Differential geometry of symmetric spaces (53C35) Other topological algebraic systems and their representations (22A30) Differential geometry of webs (53A60)

Related Items

Our friend and mathematician Karl Strambach, The geometry of point reflections and quasigroups, On twisted subgroups and Bol loops of odd order., Unnamed Item, On collineation groups generated by Bol reflections

Cites Work

• The geometry of binary systems
• 3-nets with maximal family of two-dimensional subnets
• Geometry of homogeneous Lie loops
• Levi's theorem for Mal'cev algebras
• On collineation groups generated by Bol reflections
• Dimension der Bahnen lokal kompakter Gruppen
• Restklassenräume kompakter zusammenhängender Gruppen mit Schnitt
• On loops of odd order
• The extensibility of local Lie groups of transformations and groups on surfaces
• Loops as Invariant Sections in Groups, and their Geometry
• Transformation Groups in the Theory of Topological Loops
• Topological Loops With Invariant Uniformities
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