A new characterization of the Desarguesian and the Figueroa plane

DOI10.1016/J.FFA.2019.101580zbMath1437.51005OpenAlexW2971449724MaRDI QIDQ2007711

Pierluigi Rizzo, Alessandro Montinaro, Eliana Francot

Publication date: 22 November 2019

Published in: Finite Fields and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ffa.2019.101580

zbMATH Keywords

orbitcollineation grouptactical configuration

Mathematics Subject Classification ID

Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Finite affine and projective planes (geometric aspects) (51E15) Combinatorial aspects of finite geometries (05B25)

Related Items (1)

A geometric description of the Figueroa plane

Cites Work

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• On projective and affine planes with transitive collineation groups
• Geometric ABA-groups
• PSL(3,q) on projective planes of order \(q^ 3\)
• A characterization of the Desarguesian and the Figueroa planes of order \(q^{3}\)
• On the rigidity of the Figueroa replacement in \(\mathrm{PG}(2,q^3)\)
• Characterizations of the Generalized Hughes Planes

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