The Dade group of a finite group.

DOI10.1016/j.jpaa.2012.04.003zbMath1279.20013OpenAlexW2091996754MaRDI QIDQ1946086

Caroline Lassueur

Publication date: 17 April 2013

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.2012.04.003

zbMATH Keywords

group algebrasindecomposable direct summandsfinite groupsDade groupstensor productsendotrivial modulesrelative syzygiesrelative projectivityendopermutation modulesabsolutely \(p\)-divisible modules

Mathematics Subject Classification ID

Group rings (16S34) 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 (6)

The Dade group of Mackey functors for \(p\)-groups ⋮ Dade groups for finite groups and dimension functions ⋮ On the lifting of the Dade group ⋮ A tour of \(p\)-permutation modules and related classes of modules ⋮ Endo-trivial modules for finite groups with Klein-four Sylow 2-subgroups. ⋮ Relative endotrivial modules and endo-\(p\)-permutation modules in the Auslander-Reiten quiver.

Cites Work

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• Relative projectivity and relative endotrivial modules.
• The classification of endo-trivial modules.
• Affirmative answer to a question of Feit.
• Nilpotent elements in the Green ring
• Endo-permutation modules over p-groups. I
• Endo-permutation modules over p-groups. II
• Transfer maps and virtual projectivity
• The Dade group of (almost) extraspecial \(p\)-groups.
• A remark on the Dade group and the Burnside group
• Relative projectivity and ideals in cohomology rings
• The group of endo-permutation modules
• Endo-\(p\)-permutation modules.
• The Dade group of a \(p\)-group.
• The classification of torsion endo-trivial modules.
• A construction of endo-permutation modules
• The Dade group of a fusion system
• Tensor induction of relative syzygies
• Torsion endo-trivial modules

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