6 papers
The association scheme on the set of flags of a finite generalized quadrangle
Francesco Colangelo, Giusy Monzillo, Alessandro Siciliano
In this paper, the association scheme defined on the flags of a finite generalized quadrangle is considered. All possible fusions of this scheme are listed, and a full description…
Classifying pseudo-ovals, translation generalized quadrangles, and elation Laguerre planes of small order
Giusy Monzillo, Tim Penttila, Alessandro Siciliano
We provide classification results for translation generalized quadrangles of order less or equal to , and hence, for all incidence geometries related to them. The results consi…
Classification of spreads of Tits quadrangles of order 64
Giusy Monzillo, Tim Penttila, Alessandro Siciliano
Brown et al. provide a representation of a spread of the Tits quadrangle , an oval of , even, in terms of a certain family of …
Eggs in finite projective spaces and unitals in translation planes
Giusy Monzillo, Tim Penttila, Alessandro Siciliano
Inspired by the connection between ovoids and unitals arising from the Buekenhout construction in the André/Bruck-Bose representation of translation planes of dimension at most two…
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…
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…