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- W2078532556 abstract "A t-cap in a geometry is a set of t points no three of which are collinear. A quadric in a projective geometry PG(n, q) is a set of points x which satisfy xTQx = 0,Q being an n + 1 by n + 1 matrix over GF(q). We show that in any Desarguesian projective geometry PG(2n, q), q odd, there exists a family of (q + 1)-caps which obey the axioms for the lines in a projective geometry, and thus PG(2n, q) can be regarded as an incidence structure of caps. To arrive at this result, a special family of quadrics is considered, the intersections of whose members provide the caps in question." @default.
- W2078532556 created "2016-06-24" @default.
- W2078532556 creator A5078065964 @default.
- W2078532556 date "1982-12-01" @default.
- W2078532556 modified "2023-09-29" @default.
- W2078532556 title "Finite projective geometries that are incidence structures of caps" @default.
- W2078532556 cites W2030243808 @default.
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- W2078532556 doi "https://doi.org/10.1016/0024-3795(82)90116-1" @default.
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