Relative symplectic subquadrangle hemisystems of the Hermitian surface
Copyright policy )Relative symplectic subquadrangle hemisystems of the Hermitian surface
A relative symplectic subquadrangle hemisystem of the generalized quadrangle \(H(3,q^2),\) \(q\) even, is a family \(\mathcal E\) of symplectic subquadranlges disjoint from a fixed symplectic subquadrangle \(T\) such that any point of \(H(3,q^2)\) not in \(T\) lies in \(m=\frac{|{\mathcal E}|}{2}\) subquadrangles of \(\mathcal E\). The authors construct a class of relative symplectic subquadrangle hemisystems admitting the group \(\mathrm{PSp}(4,q)\) and another class admitting the group \(\mathrm{P}\Omega^-(4,q)\).
- University Federico II of Naples Italy
- Colorado State University United States
- University of Basilicata Italy
- University of Campania "Luigi Vanvitelli" Italy
Symplectic generalized quadrangle, relative hemisystem, Applied Mathematics, symplectic generalized quadrangle, Computer Science Applications1707 Computer Vision and Pattern Recognition, Hermitian surface, Hermitian surface, Relative hemisystem, Symplectic generalized quadrangle, Hermitian surface · Relative hemisystem · Symplectic generalized quadrangle, Relative hemisystem, Association schemes, strongly regular graphs, Combinatorial aspects of finite geometries, Generalized quadrangles and generalized polygons in finite geometry, Hermitian surface; Relative hemisystem; Symplectic generalized quadrangle; Computer Science Applications1707 Computer Vision and Pattern Recognition; Applied Mathematics
Symplectic generalized quadrangle, relative hemisystem, Applied Mathematics, symplectic generalized quadrangle, Computer Science Applications1707 Computer Vision and Pattern Recognition, Hermitian surface, Hermitian surface, Relative hemisystem, Symplectic generalized quadrangle, Hermitian surface · Relative hemisystem · Symplectic generalized quadrangle, Relative hemisystem, Association schemes, strongly regular graphs, Combinatorial aspects of finite geometries, Generalized quadrangles and generalized polygons in finite geometry, Hermitian surface; Relative hemisystem; Symplectic generalized quadrangle; Computer Science Applications1707 Computer Vision and Pattern Recognition; Applied Mathematics
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