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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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