Determination of the automorphism group of a hyperbolic \(K\)-loop

DOI10.1007/BF01228054zbMath0817.20070MaRDI QIDQ1321694

Helmut Karzel, Bokhee Im

Publication date: 8 August 1995

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

zbMATH Keywords

automorphism grouphyperbolic spaceshyperbolic geometrysimilaritieshyperbolic \(K\)-loops

Mathematics Subject Classification ID

Hyperbolic and elliptic geometries (general) and generalizations (51M10) Loops, quasigroups (20N05) Representations of groups as automorphism groups of algebraic systems (20F29) Infinite automorphism groups (20B27)

Related Items (2)

Webs related to \(K\)-loops and reflection structures ⋮ In memoriam: Helmut Karzel (1928--2021)

Cites Work

• Unnamed Item
• \(K\)-loops and Bruck loops on \(\mathbb{R}\times\mathbb{R}\)
• Groups with an involutory antiautomorphism and \(K\)-loops; application to space-time-world and hyperbolic geometry. I
• Examples of finite and infinite \(K\)-loops
• On \(K\)-loops of finite order

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