Please use this identifier to cite or link to this item: https://hdl.handle.net/2440/3561
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Type: Journal article
Title: Characterisations of flock quadrangles
Author: O'Keefe, C.
Penttila, T.
Citation: Geometriae Dedicata, 2000; 82(1-3):171-191
Publisher: Kluwer Academic Publ
Issue Date: 2000
ISSN: 0046-5755
Abstract: We characterise the Hermitian and Kantor flock generalized quadrangles of order (q2, q), q even, (associated with the linear and Fisher-Thas-Walker flocks of a quadratic cone, and the Desarguesian and Betten-Walker translation planes) in terms of a self-dual subquadrangle. Equivalently, we show that a herd which contains a translation oval must be associated with the linear or Fisher-Thas-Walker flock. This result is a consequence of the determination of all functions which satisfy a certain absolute trace equation whose form is remarkably similar to that of an equation arising in recent studies of ovoids in three-dimensional projective space of finite order q. © 2000 Kluwer Academic Publishers.
DOI: 10.1023/a:1005153406421
Published version: http://dx.doi.org/10.1023/a:1005153406421
Appears in Collections:Aurora harvest
Pure Mathematics publications

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