Automorphism groups of compact projective planes (Q1081116)
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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 |
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Automorphism groups of compact projective planes (English)
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1986
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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.
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automorphism group
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compact topological projective plane
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0.9532169
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0.9439064
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0.9329814
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