A note on Auslander-Reiten quivers for integral group rings

zbMath0844.16010MaRDI QIDQ1912846

Takayuki Inoue, Yoshimasa Hieda

Publication date: 3 September 1996

Published in: Osaka Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

group algebrasconnected componentsfinite groupsvertexstable Auslander-Reiten quiversGreen correspondentscomplete discrete valuation ringsindecomposable \(RG\)-lattices

Mathematics Subject Classification ID

Group rings (16S34) Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers (16G70) (p)-adic representations of finite groups (20C11) Modular representations and characters (20C20) Group rings of finite groups and their modules (group-theoretic aspects) (20C05)

Related Items (4)

On relative projectivity of lattices in Auslander-Reiten components for group rings ⋮ On Auslander-Reiten components and height zero lattices for integral group rings. ⋮ On Auslander-Reiten components and trivial source lattices for integral group rings. ⋮ On Auslander-Reiten components and trivial modules for integral group rings of \(p\)-groups

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