Biset functors and genetic sections for \(p\)-groups

DOI10.1016/j.jalgebra.2004.06.034zbMath1062.19001OpenAlexW2062670619MaRDI QIDQ1764839

Serge Bouc

Publication date: 22 February 2005

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2004.06.034

zbMATH Keywords

endo-permutation modulesBurnside groups\(p\)-groupsDade group\(P\)-setsbiset functors.

Mathematics Subject Classification ID

Modular representations and characters (20C20) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Finite nilpotent groups, (p)-groups (20D15) Frobenius induction, Burnside and representation rings (19A22)

Related Items (11)

Borel-Smith functions and the Dade group ⋮ Genotypes of irreducible representations of finite \(p\)-groups ⋮ Tornehave morphisms. III: The reduced tornehave morphism and the Burnside unit functor. ⋮ The Roquette category of finite \(p\)-groups ⋮ Categorical constructions related to finite groups ⋮ Rhetorical biset functors, rational \(p\)-biset functors and their semisimplicity in characteristic zero ⋮ Stabilizing bisets ⋮ Endo-\(p\)-permutation modules. ⋮ Rational \(p\)-biset functors ⋮ The Dade group of a \(p\)-group. ⋮ Mackey functors and bisets.

Cites Work

• Endo-permutation modules over p-groups. I
• Endo-permutation modules over p-groups. II
• The functor of rational representations for \(p\)-groups.
• The Dade group of (almost) extraspecial \(p\)-groups.
• A remark on the Dade group and the Burnside group
• Construction of functors between categories of \(G\)-sets
• The group of endo-permutation modules
• A remark on a theorem of Ritter and Segal
• Torsion endo-trivial modules

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