Finite projective planes of order n with a 2-transitive orbit of length n – 3

DOI10.1515/ADVGEOM.2006.002zbMath1117.51004MaRDI QIDQ5488624

Alessandro Montinaro, Mauro Biliotti

Publication date: 22 September 2006

Published in: advg (Search for Journal in Brave)

zbMATH Keywords

automorphism groupprojective planepoint orbit

Mathematics Subject Classification ID

Finite affine and projective planes (geometric aspects) (51E15)

Related Items

Large 2-transitive arcs, Large doubly transitive orbits on a line

Cites Work

• Perspectivities in irreducible collineation groups of projective planes, II
• 2-transitive and antiflag transitive collineation groups of finite projective spaces
• Homogeneous designs and geometric lattices
• The maximal subgroups of the Chevalley groups \(G_ 2(q)\) with q odd, the Ree groups \(2G_ 2(q)\), and their automorphism groups
• On the structure of finite collineation groups of projective planes
• On finite simple groups containing perspectivities
• Transitive linear groups and linear groups which contain irreducible subgroups of prime order
• Primitive arcs in \(\mathrm{PG}(2,q)\)
• Note on a consequence for affine groups of the classification theorem for finite simple groups
• The translation planes admitting a nonsolvable doubly transitive line-sized orbit
• Some remarks concerning the Ree groups of type \((G_2)\)
• Solvable flag transitive affine groups
• Eine nicht-desarguesche zweifach transitive affine Ebene der Ordnung 27
• On unitary collineation groups
• Two-transitive orbits in finite projective planes
• Hyperovals in the known projective planes of order 16
• On Unitary Polarities of Finite Projective Planes
• On a class of doubly transitive groups