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Fano subplanes in finite Figueroa planes

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Publication:641702
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DOI10.1007/s00022-011-0064-4zbMath1231.51007OpenAlexW2128824427MaRDI QIDQ641702

Bryan Petrak

Publication date: 25 October 2011

Published in: Journal of Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00022-011-0064-4


zbMATH Keywords

finite fieldprojective planeFanoFigueroa


Mathematics Subject Classification ID

Combinatorial aspects of finite geometries (05B25) Polynomials in general fields (irreducibility, etc.) (12E05) Combinatorial structures in finite projective spaces (51E20) Non-Desarguesian affine and projective planes (51A35)


Related Items (3)

On Pappus configurations in Hall planes ⋮ A geometric description of the Figueroa plane ⋮ On a problem of Neumann



Cites Work

  • Unnamed Item
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  • Subplanes of order 3 in Hughes planes
  • A note on the Figueroa planes
  • Ovals in Figueroa planes
  • Embedding finite partial linear spaces in finite translation nets
  • A synthetic construction of the Figueroa planes
  • Ovals in infinite Figueroa planes
  • Hyperovals and unitals in Figueroa planes
  • Nonexistence of certain Fano subplanes of Figueroa planes
  • On some finite non-desarguesian planes
  • The Collineation Groups of Figueroa Planes
  • Projective Planes




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