A classification given previously of all projective translation planes of order q^2 that admit a collineation group G admitting a two-transitive orbit of q+1 points is applied to show that the only projective translation planes of order q^2 admitting a hyperbolic unital acting two-transitively on a secant are the Desarguesian planes and the unital is a Buekenhout hyperbolic unital.
Two-transitive groups on a hyperbolic unital
BILIOTTI, Mauro;MONTINARO, Alessandro
2008-01-01
Abstract
A classification given previously of all projective translation planes of order q^2 that admit a collineation group G admitting a two-transitive orbit of q+1 points is applied to show that the only projective translation planes of order q^2 admitting a hyperbolic unital acting two-transitively on a secant are the Desarguesian planes and the unital is a Buekenhout hyperbolic unital.File in questo prodotto:
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