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Remarks on the first non-Desarguesian planar geometry by Hilbert

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Publication:1281745
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DOI10.1007/BF01221248zbMath0928.51010MaRDI QIDQ1281745

Markus Johannes Stroppel

Publication date: 3 January 2000

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


zbMATH Keywords

non-Desarguesian plane geometry


Mathematics Subject Classification ID

History of mathematics in the 19th century (01A55) Topological linear incidence structures (51H10) History of geometry (51-03)


Related Items

Early explicit examples of non-Desarguesian plane geometries, Automorphisms of Hilbert's non-desarguesian affine plane and its projective closure



Cites Work

  • \(R^ 2\)-planes with 3-dimensional automorphism group fixing precisely a line
  • Pasting of \(\mathbb{R}^ 2\)-planes
  • A local fundamental theorem for classical topological projective spaces
  • Wirkungen und Geometrien der Gruppe \(L_2\times\mathbb{R}\)
  • A note on Hilbert and Beltrami systems
  • Stable planes
  • Topological planes
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