Hostname: page-component-586b7cd67f-dlnhk Total loading time: 0 Render date: 2024-11-22T19:19:32.909Z Has data issue: false hasContentIssue false
  • English
  • Français

THE HYPERPLANES OF $DW(5,q)$ WITH NO OVOIDAL QUAD

Published online by Cambridge University Press:  24 March 2006

BART DE BRUYN  and
HARM PRALLE
BART DE BRUYN
Affiliation:
Department of Pure Mathematics and Computer Algebra, Ghent University, Galglaan 2, B-9000 Gent, Belgium e-mail: [email protected]
HARM PRALLE
Affiliation:
Institute Computational Mathematics, Technische Universität Braunschweig, Pockelsstr. 14, 38106 Braunschweig, Germany e-mail: [email protected]
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

Let $\Delta$ be one of the dual polar spaces $DW(5,q)$ or $DH(5,q^2)$. We consider a class of subspaces of $\Delta$, each member of which carries the structure of a near hexagon, and classify all these subspaces. Using this classification, we determine all hyperplanes of $DW(5,q)$ without ovoidal quads.

Keywords

51A5051E12
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 48 , Issue 1 , January 2006 , pp. 75 - 82
Copyright
2006 Glasgow Mathematical Journal Trust