\(m\)-systems in some parapolar spaces
type: Item
instance of: scholarly article
zbMATH Open document ID: 0970.51005
author: Mohammed El-Atrash
publication date: 2001-04-22T00:00:00Z
Mathematics Subject Classification ID: 51E14
Mathematics Subject Classification ID: 51A50
zbMATH DE Number: 1589863
zbMATH Keywords: polar spaces
zbMATH Keywords: ovoids
zbMATH Keywords: spread
zbMATH Keywords: parapolar spaces
MaRDI profile type: Publication
title: \(m\)-systems in some parapolar spaces
review text: The author shows that in certain classes of polar spaces, the existence of partial ovoids guarantees the existence of partial spreads and (or) \(m\)-systems. In particular, the existence of ovoids in these cases guarantees the existence of spreads. The properties of some polar spaces are studied as part of parapolar spaces that satisfies the `pentagon property' -- this class includes geometries like \(C_{n,2}(K)\) and \(F_{4,1}(K)\).NEWLINENEWLINEFor the entire collection see [Zbl 0940.00021].
reviewed by: T. Thrivikraman
description: scientific article