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

We characterize the finite projective planes П of order n with a collineation group G acting 2-transitively on a point orbit of length n – 3. Aside from the trivial cases, the plane П must have order 9 or 16 and G is isomorphic to PSL(2,5) or AGL(1,13), respectively.

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Veröffentlicht in:Advances in geometry 2006-01, Vol.6 (1), p.15-37
Hauptverfasser: Biliotti, Mauro, Montinaro, Alessandro
Format: Artikel
Sprache:eng
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Zusammenfassung:We characterize the finite projective planes П of order n with a collineation group G acting 2-transitively on a point orbit of length n – 3. Aside from the trivial cases, the plane П must have order 9 or 16 and G is isomorphic to PSL(2,5) or AGL(1,13), respectively.
ISSN:1615-715X
1615-7168
DOI:10.1515/ADVGEOM.2006.002