Intransitive collineation groups of ovals fixing a triangle

DOI10.1016/S0097-3165(03)00011-6zbMath1025.51004OpenAlexW2073104231MaRDI QIDQ1395815

Angela Aguglia, Arrigo Bonisoli

Publication date: 1 July 2003

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

Full work available at URL: https://doi.org/10.1016/s0097-3165(03)00011-6

zbMATH Keywords

homologyovalfinite projective planeBaer involutioncollineation group

Mathematics Subject Classification ID

Finite affine and projective planes (geometric aspects) (51E15) Combinatorial aspects of finite geometries (05B25)

Related Items (4)

Primitive collineation groups of ovals with a fixed point. ⋮ Irreducible collineation groups with two orbits forming an oval ⋮ On the non-existence of a projective plane of order 15 with an \(A_4\)-invariant oval ⋮ On two-transitive parabolic ovals

Cites Work

• Perspectivities in irreducible collineation groups of projective planes, II
• On the non-existence of a projective plane of order 15 with an \(A_4\)-invariant oval
• Ovals in Figueroa planes
• A computer search for finite projective planes of order 9
• Perspectivities in irreducible collineation groups of projective planes. I
• \({\mathcal J}\)-transitive ovals in projective planes of odd order
• Ovals in commutative semifield planes
• Ovals and unitals in commutative twisted field planes
• On arcs in projective planes of order 9
• Collineation Groups which are Primitive on an Oval of a Projective Plane of Odd Order
• Endliche Gruppen I
• Polarities and ovals in the Hughes plane
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