A sectional characterization of the Dade group

DOI10.1515/JGT.2008.010zbMath1147.19002arXiv0808.3935MaRDI QIDQ5454345

Serge Bouc, Jacques Thévenaz

Publication date: 28 March 2008

Published in: Journal of Group Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0808.3935

Mathematics Subject Classification ID

Frobenius induction, Burnside and representation rings (19A22)

Related Items

Idempotents of double Burnside algebras, \(L\)-enriched bisets, and decomposition of \(p\)-biset functors ⋮ Gluing endo-permutation modules ⋮ The \(-_{+}\) and \(-^{+}\) constructions for biset functors ⋮ Elementary Abelian subgroups in \(p\)-groups with a cyclic derived subgroup. ⋮ Mackey functors and bisets. ⋮ A functorial presentation of units of Burnside rings ⋮ The Dade group of a fusion system ⋮ Counterexamples to a fiber theorem

Cites Work

• A remark on the Dade group and the Burnside group
• Set functors equipped with a double action
• The group of endo-permutation modules
• The Dade group of a \(p\)-group.
• The classification of torsion endo-trivial modules.
• Tensor induction of relative syzygies