Permutation Groups with a Cyclic Regular Subgroup and Arc Transitive Circulants

Cai-Heng Li

    Research output: Contribution to journalArticlepeer-review

    59 Citations (Scopus)

    Abstract

    A description is given of finite permutation groups containing a cyclic regular subgroup. It is then applied to derive a classification of arc transitive circulants, completing the work dating from 1970Σ κь , a deleted lexicographic product [Kb]−b , where is a smaller arc transitive circulant, or is a normal circulant, that is, Auta has a normal cyclic regular subgroup. The description of this class of permutation groups is also used to describe the class of rotary Cayley maps in subsequent work.
    Original languageEnglish
    Pages (from-to)131-136
    JournalJournal of Algebraic Combinatorics
    Volume21
    Issue number2
    DOIs
    Publication statusPublished - 2005

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