We characterize the finite projective planes P of oreder n with a collineation group G acting 2-transitively on a point orbit of length n-3. Aside from the trivial cases, the plane P must have order 9 or 16 and G is isomorphic to PSL(2,5) or AGL(1,13), respectively.
Finite projective planes of order n with a 2-transitive orbit of length n-3
BILIOTTI, Mauro;MONTINARO, Alessandro
2005-01-01
Abstract
We characterize the finite projective planes P of oreder n with a collineation group G acting 2-transitively on a point orbit of length n-3. Aside from the trivial cases, the plane P must have order 9 or 16 and G is isomorphic to PSL(2,5) or AGL(1,13), respectively.File in questo prodotto:
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