Modular representation theory of blocks with trivial intersection defect groups

Jianbei An, Charles W. Eaton

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    We show that Uno's refinement of the projective conjecture of Dade holds for every block whose defect groups intersect trivially modulo the maximal normal p-subgroup. This corresponds to the block having p-local rank one as defined by Jianbei An and Eaton. An immediate consequence is that Dade's projective conjecture, Robinson's conjecture, Alperin's weight conjecture, the Isaacs-Navarro conjecture, the Alperin-McKay conjecture and Puig's nilpotent block conjecture hold for all trivial intersection blocks. © Springer 2005.
    Original languageEnglish
    Pages (from-to)427-448
    Number of pages21
    JournalAlgebras and Representation Theory
    Issue number3
    Publication statusPublished - Aug 2005


    • Blocks
    • Cyclic defect groups
    • Dade's projective conjecture
    • Modular representations
    • p-local rank


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