Suzuki groupsSz(q) and 2-(v,k,1) block designs
โ Scribed by Shenglin Zhou
- Book ID
- 107500546
- Publisher
- SP Editorial Committee of Applied Mathematics - A Journal of Chinese Universities
- Year
- 2002
- Tongue
- English
- Weight
- 270 KB
- Volume
- 17
- Category
- Article
- ISSN
- 1005-1031
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
In this paper, we prove that if D is a 2-(v, k, 1) design with G โค Aut(D) block primitive and soc (G) = 2 G 2 (q) then D is a Ree unital with parameters 2-(q 3 + 1, q + 1, 1).
An automorphism of a 2-(v, k, 1) design acts as a permutation of the points and as another of the blocks. We show that the permutation of the blocks has at least as many cycles, of lengths n > k, as the permutation of the points. Looking at Steiner triple systems we show that this holds for all n un
Let p be an odd prime number such that p -1 = 2 e m for some odd m and e โฅ 2. In this article, by using the special linear fractional group PSL(2, p), for each i, 1 โค i โค e, except particular cases, we construct a 2-design with parameters v = p + 1, k = (p -1)/2 i + 1 and ฮป = ((p-1)/2 i +1)(p-1)/2 =
Existing sufficient conditions for the construction of a complete set of mutually orthogonal frequency squares from an affine resolvable design are improved to give necessary and sufficient conditions. In doing so a design is exhibited that proves that the class of complete sets of MOFS under consid