On the splitting group basis problem for Abelian group rings

DOI10.1016/0022-4049(92)90016-9zbMath0746.16018OpenAlexW2011970325WikidataQ127203625 ScholiaQ127203625MaRDI QIDQ1183356

Peter Pappas, Zoé Chatzidakis

Publication date: 28 June 1992

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

Full work available at URL: https://doi.org/10.1016/0022-4049(92)90016-9

zbMATH Keywords

torsion subgroupgroup of unitsAbelian groupdirect summanddirect sum of cyclic \(p\)-groups

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)

Related Items (2)

MODULAR ABELIAN GROUP ALGEBRAS ⋮ A note on the isomorphism problem for SK[G]

Cites Work

• On the isomorphism of real group algebras of Abelian groups
• Invariants for commutative group algebras
• Observations on group rings
• Summands of Separable Abelian Groups: Dedicated to Paul Turán on his 60th Birthday
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