The Auslander-Reiten quiver of a modular group algebra revisited

DOI10.1007/BF02571322zbMath0693.20008MaRDI QIDQ584385

Christine Bessenrodt

Publication date: 1991

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/174204

zbMATH Keywords

blockgroup algebraDynkin diagramconnected componentdefect groupKlein four groupEuclidean diagramstable Auslander-Reiten quivertree class

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)

Related Items

On the vertices of modules in the Auslander-Reiten quiver. II, On Auslander-Reiten components for group algebras, On Auslander-Reiten components and Heller lattices for integral group rings., Finite-dimensional algebras not arising as blocks of group algebras, Support varieties, AR-components, and good filtrations., On modules of finite complexity over selfinjective Artin algebras., On Auslander-Reiten Components of Blocks and Self-Injective Biserial Algebras

Cites Work

• Unnamed Item
• Unnamed Item
• Module correspondence in Auslander-Reiten quivers for finite groups
• Modular representation theory: New trends and methods
• Functors on categories of finite group representations
• On the Auslander-Reiten quiver of a finite group
• On the vertices of modules in the Auslander-Reiten quiver of p-groups
• Blocks whose defect groups are Klein four groups: A correction
• Algebras and Dihedral Defect Groups
• Auslander-reiten sequences with few middle terms and applications to string algebrass
• Notes on Representations of Finite Groups, I
• The Auslander-Reiten quiver of a finite group
• The Auslander-Reiten quiver of a finite group