Imprimitive flag-transitive symmetric designs

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    Abstract

    A recent paper of O'Reilly Regueiro obtained an explicit upper bound on the number of points of a flag-transitive, point-imprimitive, symmetric design in terms of the number of blocks containing two points. We improve that upper bound and give a complete list of feasible parameter sequences for such designs for which two points lie in at most ten blocks. Classifications are available for some of these parameter sequences. (c) 2005 Elsevier Inc. All rights reserved.
    Original languageEnglish
    Pages (from-to)1381-1395
    JournalJournal of Combinatorial Theory Series A
    Volume113
    Issue number7
    DOIs
    Publication statusPublished - 2006

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