A classification of Minkowski planes over half-ordered fields

DOI10.1007/BF01237486zbMath0968.51007OpenAlexW2109025867MaRDI QIDQ1841872

Günter F. Steinke

Publication date: 11 September 2001

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

Full work available at URL: https://doi.org/10.1007/bf01237486

zbMATH Keywords

classification of Minkowski planeshalf-ordered field

Mathematics Subject Classification ID

Ordered geometries (ordered incidence structures, etc.) (51G05) Minkowski geometries in nonlinear incidence geometry (51B20)

Related Items

Finite Minkowski planes of type 20 with respect to homotheties, A note on Minkowski planes admitting groups of automorphisms of some large types with respect to homotheties, A characterization of the known finite Minkowski planes in terms of Klein-Kroll types with respect to \(\mathcal{G}\)-translations

Cites Work

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• Classification of Minkowski planes by transitive groups of homotheties
• A new generalization of Moulton affine planes
• A family of 2-dimensional Minkowski planes with small automorphism groups
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• Minkowski planes with Miquelian pairs
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• A Theorem on Permutations in a Finite Field
• Minkowski planes admitting automorphism groups of small type
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