The correlations of finite Desarguesian planes of square order defined by diagonal matrices (Q880044)
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scientific article; zbMATH DE number 5151574
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The correlations of finite Desarguesian planes of square order defined by diagonal matrices |
scientific article; zbMATH DE number 5151574 |
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The correlations of finite Desarguesian planes of square order defined by diagonal matrices (English)
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10 May 2007
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In this study author classifies the correlations of finite Desarguesian planes. It is shown that in \(PG(2,q^{2n})\), the correlations defined by diagonal matrices, with companion automorphism \((q^{m})\), where \((m,2n)=1\), have a certain number of absolute points according to \(n\) odd or even. The author also discusses the equivalence classes into which these correlations fall, as well as the configurations of their sets of absolute points.
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companion automorphism
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absolute set
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\(q^{m}\)-equivalence
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residue class
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full secant
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short secant
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