On Minkowski planes with transitive groups of homotheties

DOI10.1007/BF02940791zbMath0815.51013OpenAlexW2018560404MaRDI QIDQ1341268

Monica Klein, Hans-Joachim Kroll

Publication date: 2 January 1995

Published in: Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02940791

zbMATH Keywords

topological Minkowski planes

Mathematics Subject Classification ID

Minkowski geometries in nonlinear incidence geometry (51B20) Topological nonlinear incidence structures (51H15)

Related Items (7)

Finite Minkowski planes of type 20 with respect to homotheties ⋮ A characterization of miquelian Minkowski planes by means of transitive properties ⋮ A note on Minkowski planes admitting groups of automorphisms of some large types with respect to homotheties ⋮ Degenerate forms of Miquel axiom and dilatations in Benz planes ⋮ On the Minkowski planes constructed by Artzy and Groh ⋮ A characterization of the known finite Minkowski planes in terms of Klein-Kroll types with respect to \(\mathcal{G}\)-translations ⋮ A classification of Minkowski planes over half-ordered fields

Cites Work

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• Beispiele nicht einbettbarer reeller Minkowski-Ebenen
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• Minkowski-Ebenen mit Transitivitaetseigenschaften
• Classification of Minkowski planes by transitive groups of homotheties
• Eine Bemerkung über endliche Laguerre- und Minkowski-Ebenen
• Eine Klassifikation der Möbius-Ebenen
• Symmetrische Minkowski-Ebenen

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