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Flocks of a quadratic cone in PG(3,q), q\(\leq 8\) - MaRDI portal

Flocks of a quadratic cone in PG(3,q), q\(\leq 8\) (Q1099409)

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scientific article; zbMATH DE number 4040701
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English
Flocks of a quadratic cone in PG(3,q), q\(\leq 8\)
scientific article; zbMATH DE number 4040701

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    Flocks of a quadratic cone in PG(3,q), q\(\leq 8\) (English)
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    1988
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    Let O be a \((q+1)\)-arc of PG(2,q) (or an oval of PG(2,q) if q is even), and let \({\mathcal C}(0)\) be the cone that projects 0 from a point x of PG(3,q)-PG(2,q). Then a partition of \({\mathcal C}(0)-\{x\}\) into q disjoint plane \((q+1)-arcs\) (or ovals) is called a flock of \({\mathcal C}(0)\). The authors determine all flocks of \({\mathcal C}(0)\) for \(q\leq 8\).
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    k-arcs
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    oval
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    cone
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    partition
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