A remark on the Dade group and the Burnside group

DOI10.1016/j.jalgebra.2003.10.003zbMath1059.19001OpenAlexW2090521661MaRDI QIDQ1887584

Serge Bouc

Publication date: 22 November 2004

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2003.10.003

zbMATH Keywords

permutation modulesBurnside groups\(p\)-groupsDade grouptensor induction\(P\)-sets

Mathematics Subject Classification ID

Modular representations and characters (20C20) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Frobenius induction, Burnside and representation rings (19A22)

Related Items

Borel-Smith functions and the Dade group ⋮ Dade groups for finite groups and dimension functions ⋮ A tour of \(p\)-permutation modules and related classes of modules ⋮ The Dade group of a finite group. ⋮ Categorical constructions related to finite groups ⋮ Endo-\(p\)-permutation modules. ⋮ Equivariant Moore spaces and the Dade group ⋮ Alcahestic subalgebras of the alchemic algebra and a correspondence of simple modules ⋮ Tornehave morphisms. II: The lifted Tornehave morphism and the dual of the Burnside functor ⋮ Biset functors and genetic sections for \(p\)-groups ⋮ The Dade group of a \(p\)-group. ⋮ A sectional characterization of the Dade group

Cites Work

• Endo-permutation modules over p-groups. I
• Set functors equipped with a double action
• The group of endo-permutation modules
• Une extension de la théorie de Hall et Higman
• A remark on a theorem of Ritter and Segal
• Tensor induction of relative syzygies
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