For every integer m ≥ 3 and every integer c, let r m c be the least integer, if it exists, such that for every 2-coloring of the set 1 2 r m c there exists a monochromatic solution to the equation The values of r m c were previously known for all values of m and all nonnegative values of c. In this
On the Affine and Projective Commutative (m + k, m)-Groups
✍ Scribed by Kostadin Trenčevski; Dončo Dimovski
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 207 KB
- Volume
- 240
- Category
- Article
- ISSN
- 0021-8693
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✦ Synopsis
In this paper we present a complete classification, up to isomorphism, of affine and projective fully commutative m + k m -groups, defined on subsets of the set of complex numbers C. The classification is via characteristic vectors and their associated complex curves (real surfaces).
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