On Unit Groups in Modular Group Algebras of Abelian Groups with Totally Projective Components

DOI10.1142/S1005386707000478zbMath1120.16028OpenAlexW2059630239MaRDI QIDQ5297253

Peter V. Danchev

Publication date: 18 July 2007

Published in: Algebra Colloquium (Search for Journal in Brave)

Full work available at URL: http://www.worldscinet.com/ac/14/1403/S1005386707000478.html

zbMATH Keywords

finitely generated groupspure subgroupsmodular group algebrastotally projective Abelian groupsnormed unit groupscountable ascending unions

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) Mixed groups (20K21)

Cites Work

• Homology and direct sums of countable abelian groups
• On mixed groups of torsion-free rank one with totally projective primary components
• Primary groups whose subgroups of smaller cardinality are direct sums of cyclic groups
• Criteria for Total Projectivity
• On commutative group algebras of mixed groups
• Isomorphism of modular group algebras of totally projective abelian groups

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