Group algebras of Abelian groups

zbMath0522.20006MaRDI QIDQ1055878

Fred Richman, Donna Beers, Elbert A. Walker

Publication date: 1983

Published in: Rendiconti del Seminario Matematico della Università di Padova (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=RSMUP_1983__69__41_0

zbMATH Keywords

augmentation idealsisomorphism problemcommutative group algebrastotally projective p-groups

Mathematics Subject Classification ID

Group rings (16S34) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Torsion groups, primary groups and generalized primary groups (20K10)

Related Items (5)

Units of commutative modular group algebras ⋮ Modular Group Algebras of Simply Presented Abelian Groups ⋮ Isomorphism of modular group algebras of direct sums of torsion-complete Abelian \(p\)-groups ⋮ Invariants for group algebras of Abelian groups. ⋮ Isomorphic commutative group algebras of \(p\)-mixed Warfield groups.

Cites Work

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• Isomorphism of group algebras
• Valuated groups
• Extensions of \(p\)-bounded groups
• Invariants for commutative group algebras
• Note on extensions of Abelian groups by primary groups
• A Classification Theorem for Abelian p-Groups
• On p^ω+1 -Projective p -Groups
• A classification of direct sums of closed groups
• Commutative Group Algebras

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