Group rings of wild representation type

DOI10.1007/BF01458702zbMath0506.16021OpenAlexW2020213330MaRDI QIDQ1836731

Ernst Dieterich

Publication date: 1983

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

Full work available at URL: https://eudml.org/doc/163838

zbMATH Keywords

latticeswild representation typegroup ringfinite p-groupcategory of finitely generated modulesrepresentation equivalencecomplete discrete valuation ringmatrix pair problem

Mathematics Subject Classification ID

Finite rings and finite-dimensional associative algebras (16P10) Group rings (16S34) Representation theory of associative rings and algebras (16Gxx)

Related Items (4)

An undecidability theorem for lattices over group rings ⋮ Knörr lattices and the Brauer Feit bound on irreducible character heights. ⋮ Wildness implies undecidability for lattices over group rings ⋮ On Auslander-Reiten components and trivial modules for integral group rings of \(p\)-groups

Cites Work

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• Diagrammatic methods in the representation theory of orders
• Representations of K-species and bimodules
• Integral representations and diagrams
• Construction of Auslander-Reiten quivers for a class of group rings
• Sur les ordres commutatifs avec un nombre fini de réseaux indecomposables
• Lattices over orders I
• COMMUTATIVE RINGS WITH A FINITE NUMBER OF INDECOMPOSABLE INTEGRAL REPRESENTATIONS

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