Classification of Flag-Transitive Steiner Quadruple Systems
نویسنده
چکیده
A 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” (cf. [5, p. 273], [6]) for the smallest value of k. Moreover, a generalization of a result of H. Lüneburg [14] is achieved.
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ورودعنوان ژورنال:
- J. Comb. Theory, Ser. A
دوره 94 شماره
صفحات -
تاریخ انتشار 2001