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Symplectic flock spreads in PG(3,q)<sup>i</sup>


Abstract


It is shown that any symplectic spread of symplectic dimension 2 corresponding to a flock of a quadratic cone is either Desarguesian or the Kantor-Knuth flock spread. The results of Thas-Payne, Ball and Brown connecting semifield flocks and symplectic spreads are also obtained algebraically.

DOI Code: 10.1285/i15900932v24n1p85

Keywords: Flock; Symplectic spread; Semifield flock

Classification: 51E23; 51A40

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