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math.CO2024
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…
math.CO2024
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…