科研之友
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摘要
We prove that, for a positive integer n and subgroup H of automorphisms of a cyclic group Z of order n, there is up to isomorphism a unique connected circulant digraph based on Z admitting an arc-transitive action of Z x H. We re. ne the Kovacs-Li classification of arc-transitive circulants to determine those digraphs with automorphism group larger than Z x H. As an application we construct, for each prime power q, a digraph with q - 1 vertices and automorphism group equal to the semilinear group Gamma L(1, q), thus proving that Gamma L(1, q) is 2-closed in the sense of Wielandt.
- 出版日期2009-1
- 单位北京大学
