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Asymptotic questions in Galois geometries

✍ Scribed by G. Tallini


Book ID
103058997
Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
829 KB
Volume
129
Category
Article
ISSN
0012-365X

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✦ Synopsis


We deal with the geometry of a Galois space PG(N, q) of countable dimension. We study subsets of PG(N, 4) with respect to h-dimensional characters. In this context, we characterize the quadrics and the hermitian varieties in PG(N, q).


πŸ“œ SIMILAR VOLUMES


The Jamison method in galois geometries
✍ A. A. Bruen; J. C. Fisher πŸ“‚ Article πŸ“… 1991 πŸ› Springer 🌐 English βš– 329 KB

In a fundamental paper R.E. Jamison showed, among other things, that any subset of the points of AG(n, q) that intersects all hyperplames contains at least n(q -I) + 1 points. Here we show that the method of proof used by Jamisoa can be applied to several other basic problems in finite geometries of

Packing problems in Galois geometries ov
✍ Raymond Hill πŸ“‚ Article πŸ“… 1978 πŸ› Springer 🌐 English βš– 494 KB

A set of kind s in the Galois space S~,q is a set of points such that any s + 1 are linearly independent but there is at least one subset ofs + 2 linearly dependent points. The packing problem is that of finding m[,~, the largest size of set of kind s in S,,q. The main result is the evaluation of m~