Infinite families of (q + 1)-ovoids and (q2 + 1)-tight sets of the symplectic polar space W(5,q), q even, are constructed. The (q + 1)-ovoids arise from relative hemisystems of the Hermitian surface H(3,q2) and from certain orbits of the Suzuki group Sz(q) in his projective 4-dimensional representation. The tight sets are closely related to the geometry of an ovoid of W(3,q). Other constructions of sporadic intriguing sets are also given.
Intriguing sets of W(5, q), q even
COSSIDENTE, Antonio;
2014-01-01
Abstract
Infinite families of (q + 1)-ovoids and (q2 + 1)-tight sets of the symplectic polar space W(5,q), q even, are constructed. The (q + 1)-ovoids arise from relative hemisystems of the Hermitian surface H(3,q2) and from certain orbits of the Suzuki group Sz(q) in his projective 4-dimensional representation. The tight sets are closely related to the geometry of an ovoid of W(3,q). Other constructions of sporadic intriguing sets are also given.File in questo prodotto:
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