Nearfield planes and the direction problem in \(\mathrm{AG}(2,q^2)\)

DOI10.1007/s10801-015-0588-zzbMath1343.51002OpenAlexW1211932582MaRDI QIDQ494300

Laura Bader, Guglielmo Lunardon

Publication date: 31 August 2015

Published in: Journal of Algebraic Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10801-015-0588-z

zbMATH Keywords

indicator setsBaer sublinesnearfield planesprojective triangleRédei blocking sets

Mathematics Subject Classification ID

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

Cites Work

• Desarguesian spreads
• Directions in AG\((2,p^2)\).
• Some new examples of flocks of \(Q^+(3,q)\)
• On the flocks of \(Q^+(3,q)\)
• On the number of slopes of the graph of a function defined on a finite field
• Normal spreads
• The number of directions determined by a function over a finite field.
• Blocking sets and semifields
• Spreads and a conjecture of Bruck and Bose
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