The flag-transitive symmetric designs with 45 points, blocks of size 12, and 3 blocks on every point pair

    Research output: Contribution to journalArticle

    16 Citations (Scopus)

    Abstract

    We construct two flag-transitive designs with the parameters of the title, and prove that these are the only two examples. One is point-primitive and related to unitary geometry, while the other is point-imprimitive and constructed from a 1-dimensional affine space. This classification may be contrasted with a construction by Mathon and Spence in 1996 of more than 3,700 designs with these parameters, almost a third of which had a trivial automorphism group.
    Original languageEnglish
    Pages (from-to)115-132
    JournalDesigns Codes and Cryptography
    Volume44
    Issue number1-3
    DOIs
    Publication statusPublished - 2007

    Fingerprint

    Dive into the research topics of 'The flag-transitive symmetric designs with 45 points, blocks of size 12, and 3 blocks on every point pair'. Together they form a unique fingerprint.

    Cite this