α-Flocks with Oval Herds and Monomial Hyperovals
نویسندگان
چکیده
منابع مشابه
Monomial Flocks and Herds Containing a Monomial Oval
Let F be a flock of the quadratic cone Q: X 2=X1X3 , in PG(3, q), q even, and let 6t : X0 =xt X1 + t X2 +zt X3 , t # Fq , 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, q). We show that if the herd contains a monomial oval, this oval is the Segre oval. This implies a result on the existence o...
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We investigate elations and generalised homologies stabilising hyperovals in arbitrary projective planes of even order. In particular, examples of such stabilisers are given which include the known hyperovals in PG(2, q) and the recently constructed hyperovals in the projective planes of order 16 [18]. We also give a proof that the infinite family of hyperovals constructed by Cherowitzo [3, 2] ...
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ژورنال
عنوان ژورنال: Finite Fields and Their Applications
سال: 1998
ISSN: 1071-5797
DOI: 10.1006/ffta.1998.0210