On primitive overgroups of quasiprimitive permutation groups

R.W. Baddeley, Cheryl Praeger

    Research output: Contribution to journalArticle

    20 Citations (Scopus)

    Abstract

    A permutation group is said to be quasiprimitive if all its non-trivial normal subgroups are transitive. We investigate pairs (G, H) of permutation groups of degree n such that G less than or equal to H less than or equal to S-n with G quasiprimitive and H primitive. An explicit classification of such pairs is obtained except in the cases where the primitive group H is either almost simple or the blow-up of an almost simple group. The theory in these remaining cases is investigated in separate papers. The results depend on the finite simple group classification. (C) 2003 Elsevier Science (USA). All rights reserved.
    Original languageEnglish
    Pages (from-to)294-344
    JournalJournal of Algebra
    Volume263
    Issue number2
    DOIs
    Publication statusPublished - 2003

    Fingerprint Dive into the research topics of 'On primitive overgroups of quasiprimitive permutation groups'. Together they form a unique fingerprint.

  • Cite this