Dimension subgroups of metabelian p-groups

DOI10.1016/0022-4049(88)90063-1zbMath0649.20004OpenAlexW2041744566MaRDI QIDQ1105691

Narain Gupta

Publication date: 1988

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(88)90063-1

zbMATH Keywords

metabelian groupslower central seriesintegral group ringaugmentation idealdimension subgroup

Mathematics Subject Classification ID

Group rings (16S34) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Finite nilpotent groups, (p)-groups (20D15) Derived series, central series, and generalizations for groups (20F14)

Related Items (3)

Sjogren's theorem on dimension subgroups ⋮ Group and Lie algebra filtrations and homotopy groups of spheres ⋮ A solution of the dimension subgroup problem

Cites Work

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• Sjogren's theorem on dimension subgroups
• On the dimension subgroups of metabelian groups
• Dimension and lower central subgroups
• On the fourth integer dimension subgroup
• Dimension and lower central subgroups of metabelian p-groups

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