Maximal partial spreads of polar spaces
type: Item
instance of: scholarly article
title: Maximal partial spreads of polar spaces
zbMATH Open document ID: 1367.51006
author: Antonio Cossidente
author: Francesco Pavese
published in: The Electronic Journal of Combinatorics
publication date: 2017-05-18T00:00:00Z
full work available at URL: v24i2p12
review text: Summary: Some constructions of maximal partial spreads of finite classical polar spaces are provided. In particular we show that, for \(n \geq 1\), \(\mathcal{H}(4n-1,q^2)\) 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 \(n \geq 2\), \(\mathcal{Q}^+(4n-1,q)\), \(\mathcal{Q}(4n-2,q)\), \(\mathcal{W}(4n-1,q)\), \(q\) even, \(\mathcal{W}(4n-3,q)\), \(q\) even, have a maximal partial spread of size \(q^n+1\).
Mathematics Subject Classification ID: 51E14
Mathematics Subject Classification ID: 51A50
zbMATH DE Number: 6719982
zbMATH Keywords: finite classical polar space
zbMATH Keywords: maximal partial spread
zbMATH Keywords: Singer cycle
zbMATH Keywords: Segre variety
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 6719982