The primitive permutation groups of certain degrees

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    Abstract

    This paper precisely classifies all simple groups with subgroups of index n and all primitive permutation groups of degree n, where n = 2.3(r), 5.3(r) or 10.3(r) for r greater than or equal to 1. As an application, it proves positively Gardiner and Praeger's conjecture in [6] regarding transitive groups with bounded movement.
    Original languageEnglish
    Pages (from-to)275-287
    JournalJournal of Pure and Applied Algebra
    Volume115
    Publication statusPublished - 1997

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