Monomial Flocks and Herds Containing a M
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Tim Penttila; L Storme
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Article
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1998
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Elsevier Science
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English
β 367 KB
Let F be a flock of the quadratic cone Q: X 2 2 =X 1 X 3 , in PG(3, q), q even, and let 6 t : X 0 = x t X 1 + t 1Γ2 X 2 + z t X 3 , t # F q , be the q planes defining the flock F. A flock is equivalent to a herd of ovals in PG(2, q), q even, and to a flock generalized quadrangle of order (q 2 , q).