Ovoids of \(\mathcal{H}(3, q^2)\), \(q\) odd, admitting a group of order \(\frac{(q + 1)^3}{2}\)

DOI10.1016/j.disc.2018.04.013zbMath1396.51003OpenAlexW2800611766MaRDI QIDQ1752688

Francesco Pavese

Publication date: 24 May 2018

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

Full work available at URL: https://doi.org/10.1016/j.disc.2018.04.013

zbMATH Keywords

Hermitian surfaceovoid

Mathematics Subject Classification ID

Generalized quadrangles and generalized polygons in finite geometry (51E12) Combinatorial structures in finite projective spaces (51E20)

Uses Software

• Magma

Cites Work

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• Problems by the wayside
• A geometric construction for some ovoids of the Hermitian surface
• Interesting pointsets in generalized quadrangles and partial geometries
• Unital intersections in finite projective planes
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• Spreads and ovoids in finite generalized quadrangles
• The Magma algebra system. I: The user language
• Some subsets of the Hermitian curve
• Permutable polarities and a class of ovoids of the Hermitian surface
• Tight sets and \(m\)-ovoids of generalised quadrangles
• Hyperoval constructions on the Hermitian surface
• Forme e geometrie hermitiane, con particolare riguardo al caso finito
• Collineation groups of the intersection of two classical unitals
• Ovoids of the Hermitian surface in odd characteristic
• Derivation techniques on the Hermitian surface
• Shult sets and translation ovoids of the Hermitian surface
• Spreads of PG(3, q) and ovoids of polar spaces
• Sets of Disjoint Lines in PG(3, q)

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