Commutative group rings of finite representation type

DOI10.1016/0022-4049(92)90076-RzbMath0783.20005OpenAlexW2087760184MaRDI QIDQ1196816

Lee Klingler

Publication date: 16 January 1993

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(92)90076-r

zbMATH Keywords

ranksfinite representation typefinite abelian groupindecomposable \(\mathbb{Z}_ p G\)-lattices

Mathematics Subject Classification ID

Group rings (16S34) Representation type (finite, tame, wild, etc.) of associative algebras (16G60) (p)-adic representations of finite groups (20C11) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05)

Cites Work

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• Modules over Dedekind-like rings
• \({\mathbb{Z}}G_ n\)-modules, \(G_ n\) cyclic of square-free order n
• Commutative orders whose lattices are direct sums of ideals
• Ranks of indecomposable modules over one-dimensional rings. II
• Integral representations of groups of square-free order
• Special quasi-triads and integral group rings of finite representation type. I
• Special quasi-triads and integral group rings of finite representation type. II
• Mixed modules over ZG, G cyclic of prime order, and over related Dedekind pullbacks
• Groups with a finite number of indecomposable integral representations
• Abelian Group Algebras of Finite Order

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