✦ LIBER ✦

The Jamison method in galois geometries

✍ Scribed by A. A. Bruen; J. C. Fisher

Book ID: 104630955
Publisher: Springer
Year: 1991
Tongue: English
Weight: 329 KB
Volume: 1
Category: Article
ISSN: 0925-1022
DOI: 10.1007/bf00123760

No coin nor oath required. For personal study only.

✦ Synopsis

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 a varied nature. These problems include the celebrated flock theorem and also the characterization of the elements of GF(q) as a set of squares in GF(q z) with certain properties. This last result, due to A. Blokhuis, settled a well-known conjecture due to J,H, vail Lint and the late J. MaeWilliams.

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