On finite self-complementary metacirculants

Cai-Heng Li, Grant Rao, Shu-Jiao Song

    Research output: Contribution to journalArticle

    5 Citations (Scopus)

    Abstract

    We prove that the automorphism group of a self-complementary metacirculant is either soluble or has A 5 as the only insoluble composition factor, extending a result of Li and Praeger which says the automorphism group of a self-complementary circulant is soluble. The proof involves a construction of self-complementary metacirculants which are Cayley graphs and have insoluble automorphism groups. To the best of our knowledge, these are the first examples of self-complementary graphs with this property.
    Original languageEnglish
    Pages (from-to)1135-1144
    JournalJournal of Algebraic Combinatorics
    Volume40
    Issue number4
    Early online date22 Apr 2014
    DOIs
    Publication statusPublished - Dec 2014

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