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 $q^n+1$.
@article{10_37236_5501,
author = {Antonio Cossidente and Francesco Pavese},
title = {Maximal partial spreads of polar spaces},
journal = {The electronic journal of combinatorics},
year = {2017},
volume = {24},
number = {2},
doi = {10.37236/5501},
zbl = {1367.51006},
url = {http://geodesic.mathdoc.fr/articles/10.37236/5501/}
}
TY - JOUR
AU - Antonio Cossidente
AU - Francesco Pavese
TI - Maximal partial spreads of polar spaces
JO - The electronic journal of combinatorics
PY - 2017
VL - 24
IS - 2
UR - http://geodesic.mathdoc.fr/articles/10.37236/5501/
DO - 10.37236/5501
ID - 10_37236_5501
ER -
%0 Journal Article
%A Antonio Cossidente
%A Francesco Pavese
%T Maximal partial spreads of polar spaces
%J The electronic journal of combinatorics
%D 2017
%V 24
%N 2
%U http://geodesic.mathdoc.fr/articles/10.37236/5501/
%R 10.37236/5501
%F 10_37236_5501
Antonio Cossidente; Francesco Pavese. Maximal partial spreads of polar spaces. The electronic journal of combinatorics, Tome 24 (2017) no. 2. doi: 10.37236/5501
