Relative projectivity and relative endotrivial modules.

DOI10.1016/j.jalgebra.2011.04.003zbMath1257.20003OpenAlexW2133980464MaRDI QIDQ657988

Caroline Lassueur

Publication date: 11 January 2012

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

Full work available at URL: http://infoscience.epfl.ch/record/161952

zbMATH Keywords

finite groupsfinitely generated modulesDade groupsendo-permutation modulesinflationinductionrestrictionGreen correspondenceendotrivial modulesstable categoriesrelative projectivityHeller translate

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 (9)

Relative stable categories and birationality ⋮ Dade groups for finite groups and dimension functions ⋮ Modular representations of finite groups with trivial restriction to Sylow subgroups. ⋮ A tour of \(p\)-permutation modules and related classes of modules ⋮ SIMPLE MODULES IN THE AUSLANDER–REITEN QUIVER OF PRINCIPAL BLOCKS WITH ABELIAN DEFECT GROUPS ⋮ The Dade group of a finite group. ⋮ Relative projectivity and relative endotrivial modules. ⋮ Relative endotrivial modules and endo-\(p\)-permutation modules in the Auslander-Reiten quiver. ⋮ An in-depth look at quotient modules

Cites Work

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• Relative projectivity and relative endotrivial modules.
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• 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
• Relative projectivity and ideals in cohomology rings
• The group of endo-permutation modules
• Endotrivial modules in the cyclic case.
• Tensor induction of relative syzygies
• Endotrivial modules for finite groups of Lie type
• Certain representation algebras

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