Construction of Steiner quasigroups containing a specified number of subquasigroups of a given order
โ Scribed by Tina H Straley
- Publisher
- Elsevier Science
- Year
- 1972
- Tongue
- English
- Weight
- 452 KB
- Volume
- 13
- Category
- Article
- ISSN
- 0097-3165
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
## Phelps 2.1 will produce such a collection for each n -1/> 1. Choose U as in (3.1) above, then B,, =pBn-1 U U is a set of representatives for a CSTS(p"). Since every multiplier m =-1 (modp n'l) is an automorphism of this system f(x)=p"-lx2 +x will be an isomorphism from B,, to another CSTS(p~),
This paper studies the probability that a random tournament with specified score sequence contains a specified subgraph. The exact asymptotic value is found in the case that the scores are not too far from regular and the subgraph is not too large. An ndimensional saddle-point method is used. As a s
Let f (x, y) be a polynomial with rational coefficients, and let E be a number field. We prove estimates for the number of positive integers n T such that some root : of f (n, y)=0 satisfies E/Q(:). The estimates are uniform with respect to E and, provided E satisfies natural necessary conditions, t