We describe some geometrical properties of the action of the Cartan-Dickson-Chevalley exceptional group G2(q), q even, as a subgroup of the unitary group PSU6(q^2).This allows us to provide a new description of the known 126-hyperoval of H(5,4) and to construct even subsets of PG(2,q ^2).
The action of the group G(2,q)\leq PSU(6,q^2), q even, and related combinatorial structures
MARINO, Giuseppe;
2013
Abstract
We describe some geometrical properties of the action of the Cartan-Dickson-Chevalley exceptional group G2(q), q even, as a subgroup of the unitary group PSU6(q^2).This allows us to provide a new description of the known 126-hyperoval of H(5,4) and to construct even subsets of PG(2,q ^2).File in questo prodotto:
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