Browsing by Subject "Blocks of finite groups"

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    An observation on the module structure of block algebras
    (Taylor & Francis, 2019-05-26) Gelvin, Matthew J. K.
    Let B be a p-block of the finite group G. We observe that the p-fusion of G constrains the module structure of B: Any basis of B that is closed under the left and right multiplications of a chosen Sylow p-subgroup S of G must in fact form a semicharacteristic biset for the fusion system on S induced by G. The parameterization of such semicharacteristic bisets can then be applied to relate the module structure and defect theory of B.