A geometric environment for building up loops.

DOI10.1007/S00025-015-0449-ZzbMath1347.20077OpenAlexW2039474623MaRDI QIDQ889139

Elena Zizioli, Silvia Pianta, Stefano Pasotti

Publication date: 6 November 2015

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

Full work available at URL: http://hdl.handle.net/11379/458350

zbMATH Keywords

sectionstransversalsautomorphismsloopshyperbolic planedirect motion groups

Mathematics Subject Classification ID

Hyperbolic and elliptic geometries (general) and generalizations (51M10) Loops, quasigroups (20N05)

Related Items (1)

Finite loops arising from projective 3-space

Cites Work

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• Slid product of loops: a generalization.
• Collineations of geometric structures derived from quaternion algebras
• Theory of K-loops
• A geometric construction of the K-loop of a hyperbolic space
• A class of fibered loops related to general hyperbolic planes
• Loops, regular permutation sets and colourings of directed graphs.
• Relations between the K-loop and the defect of an absolute plane
• Loops as Invariant Sections in Groups, and their Geometry
• Inner mappings of Bruck loops
• Loops in group theory and Lie theory

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