Projective bundles

نویسندگان

  • R. D. Baker
  • J. M. N. Brown
  • G. L. Ebert
  • J. C. Fisher
چکیده

A projective bundle in PG(2, q) is a collection of q + q + 1 conics that mutually intersect in a single point and hence form another projective plane of order q. The purpose of this paper is to investigate the possibility of partitioning the q5 − q2 conics of PG(2, q) into q2(q − 1) disjoint projective bundles. As a by-product we obtain a multiplier theorem for perfect difference sets that generalizes a portion of Hall’s theorem.

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تاریخ انتشار 2000