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The uniqueness of the 1-system of \(Q^-(7,q)\), \(q\) even

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Publication:557086
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DOI10.1016/j.disc.2004.04.042zbMath1081.51008OpenAlexW1965044511MaRDI QIDQ557086

Joseph A. Thas, Deirdre Luyckx

Publication date: 23 June 2005

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.disc.2004.04.042


zbMATH Keywords

polar spaceelliptic quadric1-system


Mathematics Subject Classification ID

Combinatorial structures in finite projective spaces (51E20) Polar geometry, symplectic spaces, orthogonal spaces (51A50)


Related Items

The classical 1-system of \(Q ^{ - }(7, q)\) and two-character sets ⋮ Tight sets and \(m\)-ovoids of finite polar spaces ⋮ A modular equality for m$m$‐ovoids of elliptic quadrics ⋮ Construction of strongly regular Cayley graphs based on three-valued Gauss periods ⋮ SPG-reguli, SPG-systems, BLT-sets and sets with the BLT-property ⋮ A classification of transitive ovoids, spreads, and m-systems of polar spaces ⋮ Maximal Subgroups of Finite Orthogonal Groups Stabilizing Spreads of Lines



Cites Work

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  • \(m\)-systems of polar spaces
  • \(m\)-systems of polar spaces and SPG reguli
  • The uniqueness of the 1-system of \(Q^-(7,q)\), \(q\) odd
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