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Automorphism groups of compact projective planes. (English) Zbl 0601.51020

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.
Reviewer: H.Groh

MSC:

51H10 Topological linear incidence structures
51A40 Translation planes and spreads in linear incidence geometry
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