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The crossed Burnside ring, the Drinfel'd double, and the Dade group of a \(p\)-group

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Publication:964835
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DOI10.1007/s10468-008-9117-2zbMath1283.19001OpenAlexW2011976485MaRDI QIDQ964835

Fumihito Oda

Publication date: 21 April 2010

Published in: Algebras and Representation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10468-008-9117-2



Mathematics Subject Classification ID

Modular representations and characters (20C20) Finite nilpotent groups, (p)-groups (20D15) Special categories (18B99) Frobenius induction, Burnside and representation rings (19A22)


Related Items

Categorical constructions related to finite groups



Cites Work

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  • Affirmative answer to a question of Feit.
  • Blocks of tame representation type and related algebras
  • Endo-permutation modules over p-groups. I
  • Endo-permutation modules over p-groups. II
  • The \(p\)-blocks of the Mackey algebra
  • Crossed Burnside rings. II: The Dress construction of a Green functor
  • The group of endo-permutation modules
  • Crossed Burnside rings and Bouc's construction of Green functors
  • The Dade group of a \(p\)-group.
  • A Unimodality Result in the Enumeration of Subgroups of a Finite Abelian Group
  • Hochschild Constructions for Green Functors
  • Torsion endo-trivial modules
  • Crossed Burnside rings. I: The fundamental theorem
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