Decomposition numbers of Sp(4, q) for primes dividing q ± 1
✍ Scribed by Donald L White
- Publisher
- Elsevier Science
- Year
- 1990
- Tongue
- English
- Weight
- 510 KB
- Volume
- 132
- Category
- Article
- ISSN
- 0021-8693
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
The existence of a (q, k, 1) difference family in GF(q) has been completely solved for k = 3. For k = 4, 5 partial results have been given by Bose, Wilson, and Buratti. In this article, we continue the investigation and show that the necessary condition for the existence of a (q, k, 1) difference fa
For a prime power q = 1 (mod k(k-1)) does there exist a (q, k, 11 difference family in GF(q)? The answer to this question is affirmative for k=3 and also for k>3 provided that q is sufficiently large (Wilson's asymptotic existence theoremt but very little is known for k > 3 and q not large enough.
For any prime power \(q\), we give explicit constructions for many infinite linear families of \(q+1\) regular Ramanujan graphs. This partially solves a problem that was raised by A. Lubotzky, R. Phillips, and P. Sarnak. They gave the same results as here, but only for \(q\) being prime and not equa