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Non-additive exact functors and tensor induction for Mackey functors

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Publication:4954183
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DOI10.1090/memo/0683zbMath0949.19001OpenAlexW1977156813MaRDI QIDQ4954183

Serge Bouc

Publication date: 5 December 2000

Published in: Memoirs of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/memo/0683

zbMATH Keywords

Burnside ringGreen functorMackey functorstensor induction\(p\)-permutation module


Mathematics Subject Classification ID

Homological methods in group theory (20J05) Frobenius induction, Burnside and representation rings (19A22) Special properties of functors (faithful, full, etc.) (18A22)


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Fibred permutation sets and the idempotents and units of monomial Burnside rings, The Dade group of Mackey functors for \(p\)-groups, On Wohlfahrt series and wreath products., Unit groups of representation rings and their ghost rings as inflation functors, Bi-incomplete Tambara functors as \(\mathcal{O}\)-commutative monoids, Unnamed Item, Operations on categories of modules are given by Schur functors, An induction theorem for the unit groups of Burnside rings of 2-groups, Generating functions for permutation representations., Exactness of homotopy functors of spaces, Endo-permutation modules as sources of simple modules



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