Classification of line-transitive point-imprimitive linear spaces with line size at most 12

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    Abstract

    In this paper we complete a classification of finite linear spaces S with line sizeat most 12 admitting a line-transitive point-imprimitive subgroup of automorphisms. Theexamples are the Desarguesian projective planes of orders 4, 7, 9 and 11, two designs on 91 points with line size 6, and 467 designs on 729 points with line size 8.
    Original languageEnglish
    Pages (from-to)99-111
    JournalDesigns Codes and Cryptography
    Volume47
    Issue number1-3
    DOIs
    Publication statusPublished - 2008

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