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Abstract
Let Г = (P, ℒ) be a parapolar space which is locally An−1, 3(IK) for some integer n > 6 and IK a field. There exists a class ID of 2-convex subspaces, each isomorphic to D5, 5(IK), such that every symplecton of Г is contained in a unique element of ID. Let Г = (P, ℒ) be a parapolar space which is locally An−1, 4(IK) for n = 7 or an integer n ≥ 9 and some field IK. Assume that Г satisfies the extra condition called the Weak Hexagon Axiom. Then there exists a class D of 2-convex subspaces, each isomorphic to D6, 6(IK), such that every symplecton of Г is contained in a unique element of D. In both of the above cases Г is the homomorphic image of a truncated building.
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Published Online: 2005-07-27
Published in Print: 2004-11-03
© de Gruyter
