Generalizes idempotent constructions to the C^x-fibered Burnside algebra and decomposes the category of fibered p-biset functors into subcategories indexed by isomorphism classes of atoric p-groups, with vanishing Ext groups between simple functors of distinct vertices.
Hall, The Eulerian Functions of a group, The Quarterly Journal of Mathematics 7 (1936) 134–151
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A Categorical Decomposition of $\mathbb C^{\times}$-fibered $p$-biset Functors
Generalizes idempotent constructions to the C^x-fibered Burnside algebra and decomposes the category of fibered p-biset functors into subcategories indexed by isomorphism classes of atoric p-groups, with vanishing Ext groups between simple functors of distinct vertices.