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Extremely primitive groups

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    10 Citations (Web of Science)

    Abstract

    A primitive permutation group is called extremely primitive if a point stabilizer acts primitively on each of its orbits. We prove that finite extremely primitive groups are of affine type or almost simple. Moreover, we determine the affine type examples up to finitely many exceptions.
    Original languageEnglish
    Pages (from-to)623-660
    JournalGroups Geometry and Dynamics
    Volume1
    Issue number4
    Publication statusPublished - 2007

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