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Arcs in the Hall planes

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Publication:1911990
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DOI10.1007/BF03322214zbMath0848.51008OpenAlexW2039815465MaRDI QIDQ1911990

Gloria Rinaldi

Publication date: 28 October 1996

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

Full work available at URL: https://doi.org/10.1007/bf03322214


zbMATH Keywords

arcsHall plane


Mathematics Subject Classification ID

Blocking sets, ovals, (k)-arcs (51E21) Translation planes and spreads in linear incidence geometry (51A40)




Cites Work

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  • Steiner systems and \(n^{-1}\)-isomorphisms
  • Elementary proofs of two fundamental theorems of B. Segre without using the Hasse-Weil theorem
  • On the sharpness of a theorem of B. Segre
  • A class of unitals of order q which can be embedded in two different planes of order \(q^ 2\)
  • Unital intersections in finite projective planes
  • Transformation of designs and other incidence structures
  • Existence of unitals in finite translation planes of order \(q^2\) with a kernel of order \(q\)
  • Construction of unitals in the Hall planes
  • Hyperbolic unitals in the Hall planes
  • A family of complete arcs in finite projective planes




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