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On S-cyclic steiner systems

✍ Scribed by Immo Diener

Publisher: Elsevier Science
Year: 1982
Tongue: English
Weight: 988 KB
Volume: 39
Category: Article
ISSN: 0012-365X
DOI: 10.1016/0012-365x(82)90150-9

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✦ Synopsis

In this paper we investigate the structlrlre of S-cyclic Steiner quadruple systems and derive a necessary condition on their existence which might turn out to be sufficient. In the third chapter we prove a necessary condition on the existence of general S-cyclic Steiner systems. It turns out that S-cyclicity is a very restrictive property that hardly any systems with t# 3 can have.

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