Symplectic flock spreads in ![PG(3,q)<sup>i</sup>](https://358864.dpsou.asia/plugins/generic/latexRender/cache/a0f49b5bd8ea805a9646102bc47c298e.png)
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
Full Text: PDF