On group ring quotients of divisible groups

DOI10.1007/BF01192784zbMath0517.20001OpenAlexW1971405256MaRDI QIDQ1053109

Frank Roehl

Publication date: 1983

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01192784

zbMATH Keywords

nilpotent groupsLie ringdivisible grouplower central seriesgraded ringintegral group ringaugmentation idealuniversal envelopedimension subgroupsintegral dimension seriesMal'cev-completion

Mathematics Subject Classification ID

Group rings (16S34) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Nilpotent groups (20F18) Derived series, central series, and generalizations for groups (20F14) Associated Lie structures for groups (20F40)

Related Items (2)

Some remarks on Schur multiplicator of a group being torsion-free ⋮ Dimension subgroups and Schur multiplicator. II

Cites Work

• Über Komplettierungen und Lokalisierungen von Zirkelgruppen nilpotenter Ringe
• Dimension and lower central subgroups
• Some aspects of groups with unique roots
• On the associated graded ring of a group ring
• Über Lie-Ringe von Gruppen und ihre universellen Enveloppen

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