Reflection groups and \(K\)-loops

DOI10.1007/BF01406832zbMath0821.51011MaRDI QIDQ1347007

Angelika Konrad, Helmut Karzel

Publication date: 19 September 1995

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

zbMATH Keywords

reflection groupsabsolute space\(K\)-looppoint-reflections

Mathematics Subject Classification ID

Fuchsian groups and their generalizations (group-theoretic aspects) (20H10) Loops, quasigroups (20N05) Absolute planes in metric geometry (51F05) Absolute spaces in metric geometry (51F10) Reflection groups, reflection geometries (51F15)

Related Items (10)

Reflection geometries over loops ⋮ Point-reflection geometries, geometric K-loops and unitary geometries ⋮ Web loops and webs with reflections ⋮ The geometry of point reflections and quasigroups ⋮ The defect in an invariant reflection structure ⋮ Webs related to \(K\)-loops and reflection structures ⋮ A class of fibered loops related to general hyperbolic planes ⋮ Connections between loops of exponent 2, reflection structures and complete graphs with parallelism ⋮ In memoriam: Helmut Karzel (1928--2021) ⋮ Extension of a class of fibered loops to kinematic spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Groups with an involutory antiautomorphism and \(K\)-loops; application to space-time-world and hyperbolic geometry. I
• Fibered indidence loops and kinematic loops
• On \(K\)-loops of finite order
• Group-like structure underlying the unit ball in real inner product spaces
• Die Dualität von Inzidenz und Senkrechtstehen in der absoluten Geometrie
• Ein gruppentheoretischer Beweis des Satzes von Desargues in der absoluten Axiomatik

This page was built for publication: Reflection groups and \(K\)-loops