On Basis-Transitive Steiner Systems
β Scribed by Cameron, P. J.
- Book ID
- 120096266
- Publisher
- Oxford University Press
- Year
- 1976
- Tongue
- English
- Weight
- 190 KB
- Volume
- s2-13
- Category
- Article
- ISSN
- 0024-6107
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Steiner quadruple system of order v is a 3&(v, 4, 1) design and will be denoted SQS(v). Using the classification of finite 2-transitive permutation groups all SQS(v) with a flag-transitive automorphism group are completely classified, thus solving the ``still open and longstanding problem of classif
We show that the class of Steiner triple systems on 3 d points defined in Bagchi and Bagchi (J. Combin. Theory Ser. A 52 (1989) 51-61) closely resemble the systems defined through the designs of points and lines of an affine geometry of dimension d over F3 in that they have a rich collection of hype
## Abstract For all βreasonableβ finite __t__, __k__, and __s__, we construct a __t__β(β΅~0~, __k__, 1) design and a group of automorphisms which is transitive on blocks and has __s__ orbits on points. In particular, there is a 2β(β΅__0__, 4, 1) design with a blockβtransitive group of automorphisms h