On the Average Number of Groups of Square-Free Order

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On automorphism groups of circulant digraphs of square-free order

We show that the full automorphism group of a circulant digraph of square-free order is either the intersection of two 2-closed groups, each of which is the wreath product of 2-closed groups of smaller degree, or contains a transitive normal subgroup which is the direct product of two 2-closed groups of smaller degree. The work in this paper makes contributions to the solutions of two problems ...

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ژورنال

عنوان ژورنال: Proceedings of the American Mathematical Society

سال: 1987

ISSN: 0002-9939

DOI: 10.2307/2046616