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The last twenty orders of -resolvable Steiner quadruple systems

โœ Scribed by Zhaoping Meng; Beiliang Du

Book ID
118737067
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
267 KB
Volume
312
Category
Article
ISSN
0012-365X

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๐Ÿ“œ SIMILAR VOLUMES

The structure of nilpotent steiner quadr
The structure of nilpotent steiner quadruple systems
โœ Andreas J. Guelzow ๐Ÿ“‚ Article ๐Ÿ“… 1993 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 796 KB

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

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## Abstract A Steiner quadruple system of order __v__ (briefly an SQS(__v__)) is a pair (__X__,$\cal B$) with |__X__|โ€‰=โ€‰__v__ and $\cal B$ a set of quadruples taken from __X__ such that every triple in __X__ is in a unique quadruple in $\cal B$. Hanani [Canad J Math 12 (1960), 145โ€“157] showed that