Partitions and sums of (m, p, c)-sets
โ Scribed by Walter Deuber; Neil Hindman
- Publisher
- Elsevier Science
- Year
- 1987
- Tongue
- English
- Weight
- 141 KB
- Volume
- 45
- Category
- Article
- ISSN
- 0097-3165
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
We study quadratic residue difference sets, GMW difference sets, and difference sets arising from monomial hyperovals, all of which are (2 d &1, 2 d&1 &1, 2 d&2 &1) cyclic difference sets in the multiplicative group of the finite field F 2 d of 2 d elements, with d 2. We show that, except for a few
In the setting of ZF, i.e., Zermelo-Fraenkel set theory without the Axiom of Choice (AC), we study partitions of Russell-sets into sets each with exactly n elements (called n-ary partitions), for some integer n. We show that if n is odd, then a Russell-set X has an n-ary partition if and only if |X|