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On hyperovals of polar Grassmannians

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Publication:488293
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DOI10.1016/j.disc.2014.12.004zbMath1319.51003OpenAlexW1986945599MaRDI QIDQ488293

Bart De Bruyn

Publication date: 23 January 2015

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

Full work available at URL: https://doi.org/10.1016/j.disc.2014.12.004

zbMATH Keywords

hyperovalpolar space\(m\)-ovoidtight setline Grassmannian


Mathematics Subject Classification ID

Polar geometry, symplectic spaces, orthogonal spaces (51A50)



Uses Software

  • GAP


Cites Work

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  • Hyperovals of \(H(3,q^2)\) when \(q\) is even
  • Hyperovals on \(\mathcal{H}(3,q^2)\) left invariant by a group of order \(6(q+1)^3\)
  • Hyperovals of Hermitian polar spaces
  • Extended generalized quadrangles
  • Extending polar spaces of rank at least 3
  • The triangular extensions of a generalized quadrangle of order \((3,3)\)
  • Hyperovals on \(\mathcal H(3,q^2)\)
  • The extensions of the generalized quadrangle of order (3,9)
  • On hyperovals of polar spaces
  • Extensions of GQ(4,2), the description of hyperovals
  • Locally GQ(3,5)-graphs and geometries with short lines
  • The Action of the Group, q Even, and Related Combinatorial Structures
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