Generalized \(Q\)-sets in a finite locally projective planar space
type: Item
instance of: scholarly article
title: Generalized \(Q\)-sets in a finite locally projective planar space
zbMATH Open document ID: 0943.51006
DOI: 10.1016/S0012-365X(99)00065-5
author: Paola Biondi
author: Pia Maria Lo Re
published in: Discrete Mathematics
publication date: 2000-08-21T00:00:00Z
review text: The paper generalizes the notion of \(Q\)-set of a \(3\)-dimensional projective space and extends it to any finite locally projective planar space. If a locally projective planar space \(\mathcal S\) contains such a non-degenerate generalized \(Q\)-set \(Q\) and the order \(n \geq 4\) of \(\mathcal S\) is even, then it is proved that \(\mathcal{S}\) is embeddable in \(\text{PG}(3,n)\) and that \(Q\) is isomorphic to an ovoid or a hyperbolic quadric of \(\text{PG}(3,n)\).
reviewed by: Bart De Bruyn
Mathematics Subject Classification ID: 51E20
Mathematics Subject Classification ID: 05B25
zbMATH DE Number: 1369773
zbMATH Keywords: finite locally projective planar space
zbMATH Keywords: generalized \(Q\)-set
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1369773