The balanced-projective dimension of units in commutative modular group algebras

DOI10.1016/S0022-4049(97)00133-3zbMath0930.16022MaRDI QIDQ1295593

Paul Hill, William Ullery

Publication date: 18 November 1999

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

zbMATH Keywords

group algebrasAbelian \(p\)-groupstotally projective groupsgroups of normalized unitscommutative modular group algebrasbalanced-projective dimensions

Mathematics Subject Classification ID

Group rings (16S34) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Homological dimension in associative algebras (16E10) Homological and categorical methods for abelian groups (20K40) Torsion groups, primary groups and generalized primary groups (20K10) Units, groups of units (associative rings and algebras) (16U60)

Cites Work

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• On the theory and classification of Abelian \(p\)-groups
• 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 Balanced-Projective Dimension of Abelian p-Groups
• On group algebras ofp-mixed abelian Groups
• Units of modular group algebras of abelian groups of cardinality N₂

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