On the generation of dual polar spaces of unitary type over finite fields
type: Item
instance of: scholarly article
title: On the generation of dual polar spaces of unitary type over finite fields
zbMATH Open document ID: 0889.51009
published in: European Journal of Combinatorics
publication date: 1998-06-08T00:00:00Z
review text: Let \(U = U_{2n}(q^2)\) denote the \(2n\)-dimensional unitary vector space over a finite field of order \(q^2\). The dual polar space \(D = DU_{2n}(q^2)\) has as its points the isotropic subspaces of \(U\) of maximal dimension \(n\), and as its lines the \((n-1)\)-dimensional isotropic subspaces of \(U\); incidence is given by (reverse) inclusion. Main theorem. The minimal number of points that generate \(D\) is \(2n \choose n\).
Mathematics Subject Classification ID: 51E20
zbMATH DE Number: 1088582
zbMATH Keywords: dual polar spaces
author: B. N. Cooperstein
reviewed by: Helmut Salzmann
MaRDI profile type: Publication
full work available at URL: eujc.1997.0159
OpenAlex ID: W2023212873
DOI: 10.1006/EUJC.1997.0159
description: scientific article; zbMATH DE number 1088582