Maximal divisible subgroups in modular group rings of \(p\)-mixed Abelian groups.

DOI10.1007/s00574-010-0003-2zbMath1198.16032OpenAlexW2025614592MaRDI QIDQ968024

Peter V. Danchev

Publication date: 3 May 2010

Published in: Bulletin of the Brazilian Mathematical Society. New Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00574-010-0003-2

zbMATH Keywords

idempotentsnilpotent elementscardinalitiesgroups of unitscommutative ringsnormalized unitsdivisible subgroups\(p\)-mixed Abelian groupsmodular Abelian group rings

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)

Related Items (3)

THE NUMBER OF IDEMPOTENTS IN COMMUTATIVE GROUP RINGS ⋮ Maximal divisible subgroups in modular group rings of \(p\)-mixed Abelian groups. ⋮ Unnamed Item

Cites Work

• Units of commutative group algebras
• Maximal divisible subgroups in modular group rings of \(p\)-mixed Abelian groups.
• On finite generation of unit groups of commutative group rings
• Invariants of tile sylowp-subgroup of the unit group of a commutative group ring of characteristicp^∗
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