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On a projective representation of chain geometries

✍ Scribed by Armin Herzer


Book ID
112500869
Publisher
Springer
Year
1984
Tongue
English
Weight
765 KB
Volume
22
Category
Article
ISSN
0047-2468

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In this paper, we show that the full algebraic combinatorial geometry is not a projective geometry, it is only semimodular, but the p-polynomial points give a projective subgeometry. Also, we show that the subgeometry can be coordinatized by a skew field, which is quotient ring of an Ore domain. As

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A set of points, S βŠ† P G (r, q), is said to be -saturating if, for any point x ∈ P G(r, q), there exist + 1 points in S that generate a subspace in which x lies. The cardinality of a smallest possible set S with this property is denoted by k(r, q, ). We give a short survey of what is known about k(r