10 citations · 39 across the 18 of their papers we have counts for
6 papers · 1 filter
Solids in the space of the Veronese surface in even characteristic
Nour Alnajjarine, Michel Lavrauw, Tomasz Popiel
We classify the orbits of solids in the projective space , even, under the setwise stabiliser of the Veronese surface. For each orbit,…
Combinatorial invariants for nets of conics in
Michel Lavrauw, Tomasz Popiel, John Sheekey
The problem of classifying linear systems of conics in projective planes dates back at least to Jordan, who classified pencils (one-dimensional systems) of conics over …
Nets of conics of rank one in PG(2,q), q odd
Michel Lavrauw, Tomasz Popiel, John Sheekey
We classify nets of conics in Desarguesian projective planes over finite fields of odd order, namely, two-dimensional linear systems of conics containing a repeated line. Our proof…
The symmetric representation of lines in
Michel Lavrauw, Tomasz Popiel
Let be a finite field, an algebraically closed field, or the field of real numbers. Consider the vector space of mat…
Point-primitive generalised hexagons and octagons
John Bamberg, S. P. Glasby, Tomasz Popiel +2
In 2008, Schneider and Van Maldeghem proved that if a group acts flag-transitively, point-primitively, and line-primitively on a generalised hexagon or generalised octagon, then it…
Generalised quadrangles and transitive pseudo-hyperovals
John Bamberg, Stephen P. Glasby, Tomasz Popiel +1
A pseudo-hyperoval of a projective space $\PG(3n-1,q)$, even, is a set of subspaces of dimension such that any three span the whole space. We prove that a pseudo-…