Flocks and ovals

Tim Penttila, I. Pinneri, G.F. Royle

    Research output: Contribution to journalArticle

    Abstract

    An infinite family of q-clans, called the Subiaco q-clans, is constructed for q = 2(e). Associated with these q-clans are flocks of quadratic cones, elation generalized quadrangles of order (q(2), q), ovals of PG(2, q) and translation planes of order q(2) with kernel GF(q). It is also shown that a q-clan, for q = 2(e), is equivalent to a certain configuration of q + 1 ovals of PG(2, q), called a herd.
    Original languageEnglish
    Pages (from-to)17-37
    JournalGeometriae Dedicata
    Volume60
    Publication statusPublished - 1996

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