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.
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Betten, D., Klein, H. Four-dimensional compact projective planes with two fixed points. J Geom 55, 31–56 (1996). https://doi.org/10.1007/BF01223032
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DOI: https://doi.org/10.1007/BF01223032