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Classification of Flag-Transitive Steiner Quadruple Systems

✍ Scribed by Michael Huber

Publisher: Elsevier Science
Year: 2001
Tongue: English
Weight: 126 KB
Volume: 94
Category: Article
ISSN: 0097-3165
DOI: 10.1006/jcta.2000.3141

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✦ Synopsis

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 classifying all flag-transitive 3&(v, k, 1) designs'' for the smallest value of k. Moreover, a generalization of a result of H. Lu neburg (1965, Math. Z. 89, 82 90) is achieved.

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