The crossed Burnside rings. III: The Dress construction for a Tambara functor

DOI10.1016/j.jalgebra.2010.10.018zbMath1217.19001OpenAlexW2010860457MaRDI QIDQ536008

Fumihito Oda, Tomoyuki Yoshida

Publication date: 16 May 2011

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2010.10.018

zbMATH Keywords

finite groupsMackey functorsGreen functorscrossed Burnside ringsDress constructionTambara functorsTNR-functors

Mathematics Subject Classification ID

Frobenius induction, Burnside and representation rings (19A22)

Related Items (6)

The spectrum of the Burnside Tambara functor on a finite cyclic \(p\)-group ⋮ Induction formulae for Mackey functors with applications to representations of the twisted quantum double of a finite group ⋮ On the fractions of semi-Mackey and Tambara functors ⋮ Ideals of Tambara functors ⋮ Categorical constructions related to finite groups ⋮ Tambarization of a Mackey functor and its application to the Witt-Burnside construction

Cites Work

• Unnamed Item
• The Burnside ring of profinite groups and the Witt vector construction
• Mackey functors on compact closed categories
• Generalized Burnside rings and group cohomology
• The \(p\)-blocks of the Mackey algebra
• Crossed Burnside rings. II: The Dress construction of a Green functor
• The representation ring of the quantum double of a finite group
• Crossed Burnside rings and Bouc's construction of Green functors
• The Hochschild Cohomology Ring of a Group Algebra
• On multiplicative transfer
• Hochschild Constructions for Green Functors
• Crossed Burnside rings. I: The fundamental theorem

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