Automorphism groups of compact projective planes (Q1081116)

From MaRDI portal





scientific article; zbMATH DE number 3969520
Language Label Description Also known as
English
Automorphism groups of compact projective planes
scientific article; zbMATH DE number 3969520

    Statements

    Automorphism groups of compact projective planes (English)
    0 references
    0 references
    1986
    0 references
    Let \({\mathcal P}\) be a compact topological projective plane (not necessarily connected). Theorem 1. The continuous collineations of \({\mathcal P}\) form a locally compact topological transformation group. - In Theorem 2 the author constructs a metric for the topology of each quasifield belonging to a translation plane. - Corollary to Theorem 3: If \({\mathcal P}\) is a translation plane, then the stabilizer of a quadrangle is compact.
    0 references
    automorphism group
    0 references
    compact topological projective plane
    0 references

    Identifiers