JOINT COMPLEMENTS AND ISOMORPHISM OF MODULAR ABELIAN GROUP ALGEBRAS

DOI10.1142/S0219498813500357zbMath1286.16033MaRDI QIDQ2853971

Warren May

Publication date: 17 October 2013

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

zbMATH Keywords

group algebrascomplementsgroups of normalized unitsmodular isomorphism problem\(p\)-mixed Abelian groupssimply presented Abelian \(p\)-groupscoproducts of cyclic groupsdirect factor cancellationsimply presented direct factor property

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) Direct sums, direct products, etc. for abelian groups (20K25) Units, groups of units (associative rings and algebras) (16U60) Mixed groups (20K21)

Related Items (1)

THE ISOMORPHISM PROBLEM FOR MODULAR ABELIAN p-GROUP ALGEBRAS

Cites Work

• Unnamed Item
• The cancellation of torsion abelian groups in direct sums
• On commutative group algebras of mixed groups
• Cancellation of direct sums of countable abelian $p$-groups

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