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On Monomial Flocks

✍ Scribed by Laura Bader; Dina Ghinelli; Tim Penttila

Publisher: Elsevier Science
Year: 2001
Tongue: English
Weight: 121 KB
Volume: 22
Category: Article
ISSN: 0195-6698
DOI: 10.1006/eujc.2001.0503

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✦ Synopsis

We study monomial flocks of quadratic cones of P G(3, q), with emphasis on the case where the flock is semifield, providing some nonexistence and some uniqueness results. In addition, we give a computer-free proof of the existence of the sporadic semifield flock of the quadratic cone of P G(3, 3 5 ) (and hence of the sporadic translation ovoid of Q(4, 3 5 )), and relate that flock to the sporadic simple group M 11 .

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