Irreducible collineation groups with two orbits forming an oval

DOI10.1016/j.jcta.2007.03.001zbMath1129.51011OpenAlexW1990652504WikidataQ59249223 ScholiaQ59249223MaRDI QIDQ2459499

Angela Aguglia, Gábor Korchmáros, Arrigo Bonisoli

Publication date: 7 November 2007

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcta.2007.03.001

zbMATH Keywords

homologyprojective planeovalcollineation group

Mathematics Subject Classification ID

Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Finite affine and projective planes (geometric aspects) (51E15) Other finite nonlinear geometries (51E25) Non-Desarguesian affine and projective planes (51A35)

Cites Work

• Projective planes with non-abelian simple collineation group fixing an oval
• Ovals in Figueroa planes
• A synthetic construction of the Figueroa planes
• On the structure of finite collineation groups of projective planes
• Una proprieta gruppale delle involuzioni planari che mutano in se un'ovale di un piano proiettivo finito
• Intransitive collineation groups of ovals fixing a triangle
• Primitive collineation groups of ovals with a fixed point.
• The structure of a collineation group preserving an oval in a projective plane of odd order
• Collineation Groups which are Primitive on an Oval of a Projective Plane of Odd Order
• Polarities and ovals in the Hughes plane
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