1 citations · 1 across the 5 of their papers we have counts for
6 papers
Saxl graphs of primitive affine groups with sporadic point stabilisers
Melissa Lee, Tomasz Popiel
Let be a permutation group on a set . A base for is a subset of whose pointwise stabiliser is trivial, and the base size of is the minimal cardinality of a base.…
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…
On the second-largest Sylow subgroup of a finite simple group of Lie type
S. P. Glasby, Alice C. Niemeyer, Tomasz Popiel
Let be a finite simple group of Lie type in characteristic , and let be a Sylow subgroup of with maximal order. It is well known that is a Sylow -subgroup exc…
Simple groups, product actions, and generalised quadrangles
John Bamberg, Tomasz Popiel, Cheryl E. Praeger
The classification of flag-transitive generalised quadrangles is a long-standing open problem at the interface of finite geometry and permutation group theory. Given that all known…