4 papers
Unitals with many Baer secants through a fixed point
Sara Rottey, Geertrui Van de Voorde
We show that a unital in containing a point , such that at least of the secant lines through intersect in a Baer subline, is an ovoidal…
Characterisations of elementary pseudo-caps and good eggs
Sara Rottey, Geertrui Van de Voorde
In this note, we use the theory of Desarguesian spreads to investigate good eggs. Thas showed that an egg in , odd, with two good elements is elementary.…
A construction for infinite families of semisymmetric graphs revealing their full automorphism group
Philippe Cara, Sara Rottey, Geertrui Van de Voorde
We give a general construction leading to different non-isomorphic families $Γ_{n,q}(\K)$ of connected -regular semisymmetric graphs of order embedded in $\PG(n+1,q)$…
The isomorphism problem for linear representations and their graphs
Philippe Cara, Sara Rottey, Geertrui Van de Voorde
In this paper, we study the isomorphism problem for linear representations. A linear representation Tn*(K) of a point set K is a point-line geometry, embedded in a projective space…