Four-dimensional compact projective planes with two fixed points |
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Authors: | Dieter Betten Hauke Klein |
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Affiliation: | (1) Mathematisches Seminar der Universität Kiel, Ludewig-Meyn-Straße 4, D-24098 Kiel |
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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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