Maximal Partial Spreads of Polar Spaces
Keyword(s):
Some constructions of maximal partial spreads of finite classical polar spaces are provided. In particular we show that, for $n \ge 1$, $\mathcal{H}(4n-1,q^2)$ has a maximal partial spread of size $q^{2n}+1$, $\mathcal{H}(4n+1,q^2)$ has a maximal partial spread of size $q^{2n+1}+1$ and, for $n \ge 2$, $\mathcal{Q}^+(4n-1,q)$, $\mathcal{Q}(4n-2,q)$, $\mathcal{W}(4n-1,q)$, $q$ even, $\mathcal{W}(4n-3,q)$, $q$ even, have a maximal partial spread of size $q^n+1$.
1978 ◽
Vol 30
(03)
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pp. 483-489
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Keyword(s):
2007 ◽
Vol 47
(1-3)
◽
pp. 21-34
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2013 ◽
Vol 72
(1)
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pp. 77-117
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2005 ◽
Vol 1
(1)
◽
pp. 19-34
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