On modules with cyclic vertices in the Auslander-Reiten quiver

DOI10.1016/0021-8693(86)90216-4zbMath0602.20011OpenAlexW2057616559MaRDI QIDQ1081686

Karin Erdmann

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1016/0021-8693(86)90216-4

zbMATH Keywords

blockAuslander-Reiten quiververtexdefect groupAuslander-Reiten sequencemodular group algebracyclic verticesirreducible map

Mathematics Subject Classification ID

Group rings (16S34) Modular representations and characters (20C20) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Artinian rings and modules (associative rings and algebras) (16P20) Representation theory of associative rings and algebras (16Gxx)

Related Items (9)

On the vertices of modules in the Auslander-Reiten quiver. II ⋮ On the vertices of modules in the Auslander-Reiten quiver of p-groups ⋮ Jordan types for indecomposable modules of finite group schemes ⋮ On the vertices of modules in the Auslander-Reiten quiver ⋮ Auslander-Reiten sequences for certain group modules ⋮ On Auslander-Reiten components and trivial source lattices for integral group rings. ⋮ Relative endotrivial modules and endo-\(p\)-permutation modules in the Auslander-Reiten quiver. ⋮ On the vertices of indecomposable modules over dihedral 2-groups. ⋮ The Green correspondence and Auslander Reiten sequences

Cites Work

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• On the indecomposable representations of a finite group
• Tame algebras and integral quadratic forms
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• Algebren, Darstellungsköcher, Überlagerungen und zurück
• Green correspondence between blocks with cyclic defect groups. I
• A transfer theorem for modular representations
• Blocks with cyclic defect groups
• Relative module categories for finite groups
• Blocks and Simple Modules with Cyclic Vertices
• Representation Theory of Artin Algebras II

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