Relative endotrivial modules and endo-\(p\)-permutation modules in the Auslander-Reiten quiver.

DOI10.1016/j.jalgebra.2014.08.009zbMath1332.20003OpenAlexW2028014599MaRDI QIDQ743897

Caroline Lassueur

Publication date: 1 October 2014

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2014.08.009

zbMATH Keywords

group algebrasfinite groupsAuslander-Reiten quiversendo-\(p\)-permutation modulesrelatively endotrivial modules

Mathematics Subject Classification ID

Group rings (16S34) Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers (16G70) 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 (2)

The subgroup structure of finite groups ⋮ Toward a classification of endotrivial modules

Uses Software

• Magma

Cites Work

• Relative projectivity and relative endotrivial modules.
• Modular representation theory for blocks with cyclic defect groups via the Auslander-Reiten quiver
• Almost-split sequences and group rings
• On modules with cyclic vertices in the Auslander-Reiten quiver
• Blocks of tame representation type and related algebras
• Transfer maps and virtual projectivity
• On Auslander-Reiten components for certain group modules
• The Magma algebra system. I: The user language
• Relative projectivity and ideals in cohomology rings
• The Dade group of a finite group.
• Endo-\(p\)-permutation modules.
• Relative projective covers and almost split sequences
• Endotrivial modules
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