Vol. 8, No. 1, 2008

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Flag-transitive and almost simple orbits in finite projective planes

Alessandro Montinaro

Vol. 8 (2008), No. 1, 1–37

Let Π be a projective plane of order n and let G be a collineation group of Π with a point-orbit O of length v. We investigate the triple (Π,O,G) when O has the structure of a non trivial 2-(v,k,1) design, G induces a flag-transitive and almost simple automorphism group on O and n (O) = b + v + r + k.

projective plane, collineation group, orbit
Mathematical Subject Classification 2000
Primary: 20B25, 51E15
Received: 6 February 2007
Accepted: 15 January 2008
Alessandro Montinaro