Units of commutative modular group algebras

DOI10.1016/0022-4049(94)90031-0zbMath0806.16033OpenAlexW2014649980MaRDI QIDQ1328771

Paul Hill

Publication date: 7 August 1994

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(94)90031-0

zbMATH Keywords

group algebraunit groupgroup of normalized unitsabelian \(p\)-group\(\nu\)-basisdirect factor problemsimply presented \(p\)-group

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) Units, groups of units (associative rings and algebras) (16U60)

Related Items (2)

Unnamed Item ⋮ Basic subgroups in abelian group rings

Cites Work

• Unnamed Item
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• Units in the modular group algebra of a finite Abelian p-group
• Units of commutative group algebras
• Group algebras of Abelian groups
• On finite generation of unit groups of commutative group rings
• Note on extensions of Abelian groups by primary groups
• Modular Group Algebras of Simply Presented Abelian Groups
• A Note on a Theorem of May Concerning Commutative Group Algebras
• The Third Axiom of Countability for Abelian Groups
• Modular Group Algebras of Totally Projective p-Primary Groups
• A New Characterization of Totally Projective Groups of Cardinality ℵ 1

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