Reconstruction of incidence geometries from groups of automorphisms

DOI10.1007/BF01193534zbMath0781.51002MaRDI QIDQ1203532

Markus Johannes Stroppel

Publication date: 10 February 1993

Published in: Archiv der Mathematik (Search for Journal in Brave)

zbMATH Keywords

automorphismsreconstructionincidence geometrytopological stable planes

Mathematics Subject Classification ID

Topological linear incidence structures (51H10) Homomorphism, automorphism and dualities in linear incidence geometry (51A10)

Related Items (9)

Slanted symplectic quadrangles ⋮ Stable planes ⋮ Divisible designs with dual translation group ⋮ The skew-hyperbolic motion group of the quaternion plane ⋮ Point-regular geometries ⋮ Quaternion Hermitian planes ⋮ Embedding a non-embeddable stable plane ⋮ A categorical glimpse at the reconstruction of geometries ⋮ Projective groups over rings

Cites Work

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• A characterization of quaternion planes
• Geometric ABA-groups
• Stable planes admitting a classical motion group
• Actions of \(Spin_ 3\) on 4-dimensional stable planes
• Stable planes of low dimension admitting reflections at many lines
• Homogene kompakte projektive Ebenen
• Einige Sätze über topologische Gruppen
• Über nicht-Desarguessche Ebenen mit transitiver Translationsgruppe
• Homogeneous compact projective planes.
• Hermitian quadratic forms in a quasi-field

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