Stable planes of low dimension admitting reflections at many lines

DOI10.1007/BF03323303zbMath0489.51009MaRDI QIDQ1166773

Rainer Löwen

Publication date: 1982

Published in: Results in Mathematics (Search for Journal in Brave)

zbMATH Keywords

convergence behaviour of axial collineationsnon Desarguesian translation planestwin reflections

Mathematics Subject Classification ID

Topological linear incidence structures (51H10)

Related Items (8)

Actions of SO(3) on 4-dimensional stable planes ⋮ Stable planes ⋮ Equivariant embeddings of low dimensional symmetric planes ⋮ Central collineations and the parallel axiom in stable planes ⋮ Quaternion Hermitian planes ⋮ Reconstruction of incidence geometries from groups of automorphisms ⋮ Duality in stable planes and related closure and kernel operations ⋮ Two-dimensional stable planes with non-solvable automorphism group

Cites Work

• Kompakte Ebenen mit einfacher Kollineationsgruppe
• Symmetric planes
• Weakly flag homogeneous stable planes of low dimension
• Halbeinfache Automorphismengruppen von vierdimensionalen stabilen Ebenen sind quasi-einfach
• Classification of 4-dimensional symmetric planes
• Polaritäten ebener projektiver Ebenen
• Über Bahnen lokal kompakter Gruppen auf Flächen
• Kollineationsgruppen ebener Geometrien
• Topological planes
• Zur Klassifikation von Salzmann-Ebenen mit dreidimensionaler Kollineationsgruppe
• Topologische Geometrien auf dem Möbiusband
• Zentrale und axiale Kollineationen in Salzmann-Ebenen
• Geometries on surfaces
• 4-dimensionale Translationsebenen. (4-dimensional translation planes)
• A THEOREM ON PERIODIC TRANSFORMATIONS OF SPACES
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