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Collineation groups preserving an oval in a projective place of odd order
Published online by Cambridge University Press: 09 April 2009
Abstract
In this paper we investigate the structure of a collineation group G of a finite projective plane Π of odd order, assuming that G leaves invariant an oval Ω of Π. We show that if G is nonabelian simple, then G ≅ PSL(2, q) for q odd. Several results about the structre and the action of G are also obtained under the assumptions that n ≡ 1 (4) and G is transitive on the points of Ω.
- Type
- Research Article
- Information
- Journal of the Australian Mathematical Society , Volume 48 , Issue 1 , February 1990 , pp. 156 - 170
- Copyright
- Copyright © Australian Mathematical Society 1990
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