This paper gives some recursive constructions for cyclic 3-designs. Using these constructions we improve Grannell and Griggs's construction for cyclic Steiner quadruple systems, and many known recursive constructions for cyclic Steiner quadruple systems are unified. Finally, some new infinite famili
Product constructions for cyclic block designs. I. Steiner quadruple systems
โ Scribed by M.J Grannell; T.S Griggs
- Publisher
- Elsevier Science
- Year
- 1984
- Tongue
- English
- Weight
- 568 KB
- Volume
- 36
- Category
- Article
- ISSN
- 0097-3165
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
This paper discusses the concepts of nilpotence and the center for Steiner Triple and Quadruple Systems. The discussion is couched in the language of block designs rather than algebras. Nilpotence is closely connected to the well known doubling and tripling constructions for these designs. A sample
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