Some constructions of maximal partial spreads of finite classical polar spaces are provided. In particular we show that, for n≥1, H(4n−1,q2) has a maximal partial spread of size q2n+1, H(4n+1,q2) has a maximal partial spread of size q2n+1+1 and, for n≥2, Q+(4n−1,q), Q(4n−2,q), W(4n−1,q), q even, W(4n−3,q), q even, have a maximal partial spread of size qn+1.
Maximal partial spreads of polar spaces / Cossidente, Antonio; Pavese, Francesco. - In: ELECTRONIC JOURNAL OF COMBINATORICS. - ISSN 1077-8926. - ELETTRONICO. - 24:2(2017).
Maximal partial spreads of polar spaces
Francesco Pavese
2017-01-01
Abstract
Some constructions of maximal partial spreads of finite classical polar spaces are provided. In particular we show that, for n≥1, H(4n−1,q2) has a maximal partial spread of size q2n+1, H(4n+1,q2) has a maximal partial spread of size q2n+1+1 and, for n≥2, Q+(4n−1,q), Q(4n−2,q), W(4n−1,q), q even, W(4n−3,q), q even, have a maximal partial spread of size qn+1.File in questo prodotto:
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