The Auslander-Reiten quiver of a finite group

DOI10.1007/BF01198231zbMath0561.20001OpenAlexW2060724072MaRDI QIDQ5919212

Peter A. Linnell

Publication date: 1985

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01198231

zbMATH Keywords

finite groupAuslander-Reiten quivergroup ringconnected componentAuslander-Reiten sequenceirreducible mapmiddle termindecomposable kG- 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) Representation theory of associative rings and algebras (16Gxx)

Related Items (4)

On Auslander-Reiten Components of Blocks and Self-Injective Biserial Algebras ⋮ On the vertices of modules in the Auslander-Reiten quiver ⋮ The Auslander-Reiten quiver of a modular group algebra revisited ⋮ On Auslander-Reiten components and trivial modules for integral group rings of \(p\)-groups

Cites Work

• Relation modules and augmentation ideals of finite groups
• Representation theory of artin algebras IV¹⁾Invariants given by almost split sequences
• The Auslander-Reiten quiver of a finite group

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