Vol. 8, No. 1, 2008

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A characterisation of the lines external to a quadric cone of $\mathsf{PG}(3,q)$, $q$ odd

Susan G. Barwick and David K. Butler

Vol. 8 (2008), No. 1, 39–48
Abstract

In this article, the lines not meeting a quadric cone in PG(3,q) (q odd) are characterised by their intersection properties with points and planes.

Keywords
projective space, quadric cone, lines, characterisation
Mathematical Subject Classification 2000
Primary: 51E20
Milestones
Received: 30 April 2007
Accepted: 7 November 2007
Authors
Susan G. Barwick
University of Adelaide
SA
Australia
David K. Butler