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 |
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Hauptverfasser: | , |
Format: | Artikel |
Sprache: | eng |
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Online-Zugang: | Volltext |
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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. |
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ISSN: | 1615-715X 1615-7168 |
DOI: | 10.1515/ADVGEOM.2006.002 |