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Flocks and ovals

✍ Scribed by W. Cherowitzo; T. Penttila; I. Pinneri; G. F. Royle

Publisher: Springer
Year: 1996
Tongue: English
Weight: 787 KB
Volume: 60
Category: Article
ISSN: 0046-5755
DOI: 10.1007/bf00150865

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✦ Synopsis

An infinite family of q-clans, called the Subiaco q-clans, is constructed for q = 2 ~. Associated with these q-clans are flocks of quadratic cones, elation generalized quadrangles of order (q2, q), ovals of PG(2, q) and translation planes of order q2 with kernel GF(q). It is also shown that a q-clan, for q = 2 ~, is equivalent to a certain configuration of q + 1 ovals of PG(2, q), called a herd.

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