The general structure of collineation groups with a faithful transitive action on the line at infinity of a finite affine plane is determined. Moreover, the projective planes admitting a collineation group which fixes a point and acts transitively on a blocking set are classified when the group is of even order.
Transitive groups on the line at infinity of a finite affine plane
BILIOTTI, Mauro;MONTINARO, Alessandro
2011-01-01
Abstract
The general structure of collineation groups with a faithful transitive action on the line at infinity of a finite affine plane is determined. Moreover, the projective planes admitting a collineation group which fixes a point and acts transitively on a blocking set are classified when the group is of even order.File in questo prodotto:
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