3 papers
math.CO2026
The natural embedding of the Ree-Tits Octagon
Sebastian Petit, Hendrik Van Maldeghem
In this paper, we study and characterise the natural embedding of the Ree-Tits octagons. Keywords: Ree-Tits Octagon, Metasymplectic space, generalised octagon, generalised polygon
math.CO2026
Intersection numbers of the natural embedding of the twisted triality hexagon T(q^3,q) in PG(7,q^3)
Sebastian Petit, Geertrui Van de Voorde
In this paper, we study and characterise the natural embedding of the twisted triality hexagon T(q^3,q) in PG(7,q^3). We begin by describing the possible intersections of subspaces…
math.CO2025
On certain blocking sets and the minimum weight of the code of generalised polygons
Sebastian Petit, Geertrui Van de Voorde
In this paper, we study and characterise certain blocking sets in generalised polygons. This will allow us to derive new results about the minimum weight and minimum weight code wo…