On mappings of the Galois space

DOI10.1007/BF02772860zbMath0594.51013OpenAlexW2052210201WikidataQ29306645 ScholiaQ29306645MaRDI QIDQ1076970

F. Radó

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1007/bf02772860

zbMATH Keywords

distance functionisotropic subspacesWitt indexGalois spacemetric vector spaceregular simplexes

Mathematics Subject Classification ID

Polyhedra and polytopes; regular figures, division of spaces (51M20) Distance geometry (51K99) Special relativity (83A05) Linear transformations, semilinear transformations (15A04) Absolute spaces in metric geometry (51F10) Analytic geometry with other transformation groups (51N25)

Related Items (1)

Automorphisms of finite Einstein geometries

Cites Work

• A characterization of the semi-isometries of a Minkowski plane over a field K
• Mappings of Galois planes preserving the unit Euclidean distance
• A Beckman Quarles type theorem for plane Lorentz transformations
• Eine Beckman-Quarles-Charakterisierung der Lorentztransformationen des \(\mathbb{R}^n\)
• Zur Kennzeichnung distanztreuer Abbildungen in nichteuklidischen Räumen
• A Beckman-Quarles type theorem for finite Desarguesian planes
• On mappings preserving a single Lorentz-Minkowski-distance. III
• Der Satz von Benz-Rado. (The theorem of Benz-Rado)
• On Isometries of Euclidean Spaces
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