A characterization of two classes of locally truncated diagram geometries

Verfasser / Beitragende:
[Silvia Onofrei]
Ort, Verlag, Jahr:
2004
Enthalten in:
Advances in Geometry, 4/4(2004-11-03), 469-495
Format:
Artikel (online)
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245 1 2 |a A characterization of two classes of locally truncated diagram geometries  |h [Elektronische Daten]  |c [Silvia Onofrei] 
520 3 |a Let Г = (P, ℒ) be a parapolar space which is locally A n −1, 3(IK) for some integer n > 6 and IK a field. There exists a class ID of 2-convex subspaces, each isomorphic to D 5, 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 A n −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 D 6, 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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