Blocks with trivial intersection defect groups

Jianbei An, Charles W. Eaton

    Research output: Contribution to journalArticlepeer-review

    Abstract

    We show that each block whose defect groups intersect pairwise trivially either has cyclic or generalised quaternion defect groups, or is Morita equivalent to one of a given list of blocks of central extensions of automorphism groups of non-abelian simple groups. In particular we classify all blocks of automorphism groups of non-abelian simple groups whose defect groups are non-cyclic and intersect pairwise trivially. A consequence is that Donovan's conjecture holds for blocks whose defect groups intersect pairwise trivially.
    Original languageEnglish
    Pages (from-to)461-486
    Number of pages25
    JournalMathematische Zeitschrift
    Volume247
    Issue number3
    DOIs
    Publication statusPublished - Jul 2004

    Keywords

    • block theory
    • finite groups

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