Commutative group algebras of $\sigma $-summable abelian groups

DOI10.1090/S0002-9939-97-04052-5zbMath0886.16024OpenAlexW1665102948MaRDI QIDQ4372356

Peter V. Danchev

Publication date: 11 December 1997

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-97-04052-5

zbMATH Keywords

group ringsunit groupsisomorphism problemtotally projective groupsnormed units\(p\)-components\(\sigma\)-summable Abelian groups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) 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) Abelian groups (20K99)

Related Items (10)

The Marshall-Olkin extended Weibull family of distributions ⋮ An extended-G geometric family ⋮ Commutative Group Algebras of Summablep-Groups ⋮ ON A QUESTION OF W. L. MAY CONCERNING THE ISOMORPHISM OF MODULAR GROUP ALGEBRAS ⋮ MODULAR ABELIAN GROUP ALGEBRAS ⋮ Basic subgroups in modular abelian group algebras ⋮ Isomorphism of modular group algebras of direct sums of torsion-complete Abelian \(p\)-groups ⋮ Invariants for group algebras of Abelian groups. ⋮ Isomorphism of modular group algebras of totally projective abelian groups ⋮ Isomorphic commutative group algebras of \(p\)-mixed Warfield groups.

Cites Work

• Unnamed Item
• Modular Group Algebras of Simply Presented Abelian Groups
• Extensions of Totally Projective Groups
• The Generalized Kulikov Criterion

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