Affirmative answer to a question of Feit.

DOI10.1016/0021-8693(90)90192-QzbMath0699.20004OpenAlexW2081973144MaRDI QIDQ912969

Lluis Puig

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1016/0021-8693(90)90192-q

zbMATH Keywords

finitely generated modulesfinite \(p\)-groupstensor productsverticescap groupsfinitely generated torsion subgroupsself-dual indecomposable endo-permutation modules

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Group rings (16S34) Modular representations and characters (20C20) Group rings of finite groups and their modules (group-theoretic aspects) (20C05)

Related Items (29)

The Dade group of (almost) extraspecial \(p\)-groups. ⋮ Gluing endo-permutation modules ⋮ The Dade group of Mackey functors for \(p\)-groups ⋮ Une correspondance de modules pour les blocs à groupes de défaut abéliens. (A module correspondence for the blocks of groups with abelian defect) ⋮ A tour of \(p\)-permutation modules and related classes of modules ⋮ The Dade group of a metacyclic \(p\)-group ⋮ The Dade group of a finite group. ⋮ Linear source invertible bimodules and Green correspondence ⋮ Nilpotent extensions of blocks. ⋮ The subgroup structure of finite groups ⋮ Toward a classification of endotrivial modules ⋮ Categorical constructions related to finite groups ⋮ On the sources of simple modules in nilpotent blocks. ⋮ Endo-\(p\)-permutation modules. ⋮ Endotrivial modules for finite group schemes ⋮ On the Brauer-Glauberman correspondence. ⋮ Gluing representations via idempotent modules and constructing endotrivial modules. ⋮ The crossed Burnside ring, the Drinfel'd double, and the Dade group of a \(p\)-group ⋮ The Dade group of a \(p\)-group. ⋮ The classification of endo-trivial modules. ⋮ Constructing endotrivial modules. ⋮ The ring of modules with endo-permutation source. ⋮ A local property of basic Rickard equivalences. ⋮ The Dade group of a fusion system ⋮ Extensions of nilpotent blocks ⋮ Block source algebras in \(p\)-solvable groups. ⋮ Weight Parameterization of Simple Modules for p-Solvable Groups ⋮ On endotrivial modules for Lie superalgebras ⋮ Parameterization of Irreducible Characters for p-Solvable Groups

Cites Work

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• Nilpotent blocks and their source algebras
• Pointed groups and construction of modules
• Characters and local structure in G-algebras
• Pointed groups and construction of characters
• Dimensions of modules and their restrictions over modular group algebras
• Sur un théorème de Green
• Endo-permutation modules over p-groups. II

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