Tight sets of points in the half-spin geometry related to \(Q^{+}(9, q)\)

DOI10.1016/j.laa.2007.02.022zbMath1121.05020OpenAlexW2088500417MaRDI QIDQ886149

Bart De Bruyn

Publication date: 26 June 2007

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2007.02.022

zbMATH Keywords

inequalities involving eigenvaluestight sethalf-spin geometry\(m\)-systemHigman-Sims technique

Mathematics Subject Classification ID

Combinatorial aspects of finite geometries (05B25) Inequalities involving eigenvalues and eigenvectors (15A42) Combinatorial structures in finite projective spaces (51E20) Polar geometry, symplectic spaces, orthogonal spaces (51A50)

Related Items (3)

Regular partitions of half-spin geometries ⋮ Intriguing sets of vertices of regular graphs ⋮ Intriguing sets of points of \(Q(2n,2)\backslash Q ^{+}(2n - 1,2)\)

Cites Work

• Sur la trialité et certains groupes qui s'en déduisent
• Geometric hyperplanes of the half-spin geometries arise from embeddings
• \(m\)-systems of polar spaces
• \(m\)-systems of polar spaces and SPG reguli
• Existence and non-existence of \(m\)-systems of polar spaces
• Tight sets and \(m\)-ovoids of finite polar spaces
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