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math.CO2012
Unitals of PG(2,q^2) containing conics
N. Durante, A. Siciliano
A unital in PG(2,q^2) is a set U of q^3+1 points such that each line meets U in 1 or q+1 points. The well known example is the classical unital consisting of all absolute points of…
math.CO2012
The geometry of elation groups of a finite projective space
N. Durante, A. Siciliano
We study the geometry of point-orbits of elation groups with a given center and axis of a finite projective space. We show that there exists a 1-1 correspondence from conjugacy cla…
math.CO2012
Low dimensional models of the finite split Cayley hexagon
John Bamberg, Nicola Durante
We provide a model of the split Cayley hexagon arising from the Hermitian surface , thereby yielding a geometric construction of the Dickson group start…