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Four-dimensional compact projective planes with two fixed points

Research paper by Dieter Betten, Hauke Klein

Indexed on: 01 Mar '96Published on: 01 Mar '96Published in: Journal of Geometry



Abstract

We determine all 4-dimensional compact projective planes with a solvable 6-dimensional collineation group fixing two distinct points, and acting transitively on the affine pencils through the fixed points. These planes form a 2-parameter family, and one exceptional member of this family is the dual of the exceptional translation plane with 8-dimensional collineation group.