Piotrowski's infinite series of Steiner Quadruple Systems revisited
β Scribed by Helmut Siemon
- Book ID
- 118771463
- Publisher
- Springer
- Year
- 1996
- Tongue
- English
- Weight
- 565 KB
- Volume
- 8
- Category
- Article
- ISSN
- 0925-1022
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
For definitions and preliminary results see also Section 2. ' See Section 3.1. ' For the convenience of the reader we repeat here the argument of the proof of Theorem 1 in with 2p a instead of 2 5".
Steiner quadruple systems can be coordinatized by SQS-skeins. We investigate those Steiner quadruple systems that correspond to finite nilpotent SQS-skeins. S. Klossek has given representation and construction theorems for finite distributive squags and Hall triple systems which were generalized by
In this article, we construct overlarge sets of disjoint S(3, 4, 3 n -1) and overlarge sets of disjoint S(3, 4, 3 n + 1) for all n β₯ 2. Up to now, the only known infinite sequence of overlarge sets of disjoint S(3, 4, v) were the overlarge sets of disjoint S(3, 4, 2 n ) obtained from the oval conics
## Abstract A __Steiner quadruple system__ of order __v__ (briefly SQS (__v__)) is a pair (__X__, $\cal B$), where __X__ is a __v__βelement set and $\cal B$ is a set of 4βelement subsets of __X__ (called __blocks__ or __quadruples__), such that each 3βelement subset of __X__ is contained in a uniqu