Classification of Minkowski planes by transitive groups of homotheties

DOI10.1007/BF01245947zbMath0746.51009MaRDI QIDQ1184579

Monica Klein

Publication date: 28 June 1992

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

zbMATH Keywords

homothetiesclassification of Minkowski planes

Mathematics Subject Classification ID

Minkowski geometries in nonlinear incidence geometry (51B20) Homomorphism, automorphism and dualities in linear incidence geometry (51A10)

Related Items (10)

Finite Minkowski planes of type 20 with respect to homotheties ⋮ A family of flat Minkowski planes over convex functions ⋮ On Minkowski planes with transitive groups of homotheties ⋮ A characterization of miquelian Minkowski planes by means of transitive properties ⋮ Benz planes of Dembowski type and groups of tangential projectivities ⋮ A note on Minkowski planes admitting groups of automorphisms of some large types with respect to homotheties ⋮ Modified classical flat Minkowski 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

• Unnamed Item
• A classification of Minkowski planes
• Some Minkowski planes with 3-dimensional automorphism group
• Beispiele nicht einbettbarer reeller Minkowski-Ebenen
• Eine Klassifikation der Möbius-Ebenen

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