Transitive groups on the line at infinity of a finite affine plane

Mauro Biliotti,Alessandro Montinaro

doi:10.1016/j.ffa.2010.10.004

Transitive groups on the line at infinity of a finite affine plane

Mauro Biliotti, Alessandro Montinaro

https://doi.org/10.1016/j.ffa.2010.10.004

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Journal: Finite Fields and Their Applications	Publication Date: Oct 27, 2010
License type: elsevier-specific: oa user license

Affiliation: University of Salento

#Collineation Group #Finite Plane + Show 7 more

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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.

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