Triads, flocks of conics and Q-(5,q),

M.R. Brown, C.M. O'Keefe, Tim Penttila

    Research output: Contribution to journalArticle

    2 Citations (Scopus)

    Abstract

    We show that if an ovoid of Q (4,q), q even, admits a flock of conics then that flock must be linear. It follows that an ovoid of PG (3,q), q even, which admits a flock of conics must be an elliptic quadric. This latter result is used to give a characterisation of the classical example Q(-)(5,q) among the generalized quadrangles T-3(O), where O is an ovoid of PG (3,q) and q is even, in terms of the geometric configuration of the centres of certain triads.
    Original languageEnglish
    Pages (from-to)63-70
    JournalDesigns Codes and Cryptography
    Volume18
    DOIs
    Publication statusPublished - 1999

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