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Finite affine planes of rank three are translation planes

✍ Scribed by Robert A. Liebler


Publisher
Springer-Verlag
Year
1970
Tongue
French
Weight
296 KB
Volume
116
Category
Article
ISSN
0025-5874

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Let r be a rank 3 incidence geometry of points, lines and planes. This paper classifies all finite geometries r whose planes are affine, whose point residues are dual affine and which satisfy Condition 1: any two points of r are incident with at most one line. Such a geometry is necessarily isomorph