The defect in an invariant reflection structure

DOI10.1007/S00022-010-0058-7zbMath1232.51012OpenAlexW2030776395MaRDI QIDQ641695

Silvia Pianta, Mario Marchi, Helmut Karzel

Publication date: 25 October 2011

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

Full work available at URL: https://doi.org/10.1007/s00022-010-0058-7

zbMATH Keywords

loopdefect\(K\)-loopreflection structureloop derivation

Mathematics Subject Classification ID

Loops, quasigroups (20N05) Reflection groups, reflection geometries (51F15) Algebraization in linear incidence geometry (51A25)

Related Items (3)

A class of fibered loops related to general hyperbolic planes ⋮ In memoriam: Helmut Karzel (1928--2021) ⋮ Relations between the K-loop and the defect of an absolute plane

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• On a class of point-reflection geometries
• Reflection groups and \(K\)-loops
• Theory of K-loops
• Recent developments on absolute geometries and algebraization by K-loops
• Geometry of kinematic \(K\)-loops
• Binary operations derived from symmetric permutation sets and applications to absolute geometry
• Relations between the K-loop and the defect of an absolute plane

This page was built for publication: The defect in an invariant reflection structure