Constructing flag-transitive, point-imprimitive designs

P.J. Cameron, Cheryl Praeger

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    1 Citation (Scopus)

    Abstract

    © 2015, Springer Science+Business Media New York. We give a construction of a family of designs with a specified point-partition and determine the subgroup of automorphisms leaving invariant the point-partition. We give necessary and sufficient conditions for a design in the family to possess a flag-transitive group of automorphisms preserving the specified point-partition. We give examples of flag-transitive designs in the family, including a new symmetric 2-(1408,336,80) design with automorphism group 2 12: ((3 · M 22) : 2) and a construction of one of the families of the symplectic designs (the designs S-(n)) exhibiting a flag-transitive, point-imprimitive automorphism group.
    Original languageEnglish
    Pages (from-to)755-769
    JournalJournal of Algebraic Combinatorics
    Volume43
    Issue number4
    DOIs
    Publication statusPublished - 2016

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