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A Beckman-Quarles type theorem for finite Desarguesian planes

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Publication:1171279
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DOI10.1007/BF01930870zbMath0498.51007OpenAlexW1975749222WikidataQ29030274 ScholiaQ29030274MaRDI QIDQ1171279

Walter Benz

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1007/bf01930870


zbMATH Keywords

affine planecollineation


Mathematics Subject Classification ID

Finite affine and projective planes (geometric aspects) (51E15) Minkowski geometries in nonlinear incidence geometry (51B20) Desarguesian and Pappian geometries (51A30)


Related Items (5)

On mappings of the Galois space ⋮ Der Satz von Benz-Rado. (The theorem of Benz-Rado) ⋮ Automorphisms of finite Einstein geometries ⋮ A characterization of the semi-isometries of a Minkowski plane over a field K ⋮ Mappings of Galois planes preserving the unit Euclidean distance




Cites Work

  • Unnamed Item
  • On the characterization of plane affine isometries
  • Eine Beckman-Quarles-Charakterisierung der Lorentztransformationen des \(\mathbb{R}^n\)
  • Zur Kennzeichnung von Lorentztransformationen in endlichen Ebenen
  • On mappings preserving a single Lorentz-Minkowski-distance. II
  • On Isometries of Euclidean Spaces




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