Isomorphism of modular group algebras of totally projective abelian groups

DOI10.1080/00927870008826975zbMath0958.20003OpenAlexW2006482927MaRDI QIDQ4495373

Peter V. Danchev

Publication date: 22 January 2001

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

Full work available at URL: https://doi.org/10.1080/00927870008826975

zbMATH Keywords

group algebrasisomorphism problemtotally projective Abelian groups

Mathematics Subject Classification ID

Group rings (16S34) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Homological and categorical methods for abelian groups (20K40) Torsion groups, primary groups and generalized primary groups (20K10)

Related Items (5)

Commutative Group Algebras of Summablep-Groups ⋮ On Unit Groups in Modular Group Algebras of Abelian Groups with Totally Projective Components ⋮ ON A QUESTION OF W. L. MAY CONCERNING THE ISOMORPHISM OF MODULAR GROUP ALGEBRAS ⋮ MODULAR ABELIAN GROUP ALGEBRAS ⋮ Isomorphism of Modular Group Algebras ofp-Mixed Abelian Groups

Cites Work

• Homology and direct sums of countable abelian groups
• On mixed groups of torsion-free rank one with totally projective primary components
• On group algebras ofp-mixed abelian Groups
• Commutative group algebras of $\sigma $-summable abelian groups
• On commutative group algebras of mixed groups
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