Tornehave morphisms. II: The lifted Tornehave morphism and the dual of the Burnside functor

DOI10.1016/J.JPAA.2009.12.019zbMath1225.19001OpenAlexW2128498730MaRDI QIDQ964533

Laurence Barker

Publication date: 22 April 2010

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2009.12.019

zbMATH Keywords

Burnside ringcharacter ringbiset functorDade group

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Frobenius induction, Burnside and representation rings (19A22)

Related Items (2)

Tornehave morphisms. III: The reduced tornehave morphism and the Burnside unit functor. ⋮ Tornehave Morphisms I: Resurrecting the Virtual Permutation Sets Annihilated by Linearization

Cites Work

• Tornehave morphisms. III: The reduced tornehave morphism and the Burnside unit functor.
• On the unit groups of Burnside rings
• Rhetorical biset functors, rational \(p\)-biset functors and their semisimplicity in characteristic zero
• Transformation groups
• Idempotent formula for the Burnside algebra with applications to the \(p\)-subgroup simplicial complex.
• A remark on the Dade group and the Burnside group
• Set functors equipped with a double action
• The group of endo-permutation modules
• Borel-Smith functions and the Dade group
• The functor of units of Burnside rings for \(p\)-groups
• A filtration of the modular representation functor
• Rational \(p\)-biset functors
• An induction theorem for the unit groups of Burnside rings of 2-groups
• The Dade group of a \(p\)-group.
• Tornehave Morphisms I: Resurrecting the Virtual Permutation Sets Annihilated by Linearization
• Tensor induction of relative syzygies

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