On the dimension subgroups of metabelian groups

DOI10.1016/0022-4049(82)90054-8zbMath0482.20007OpenAlexW1987480906MaRDI QIDQ1162587

Narain Gupta

Publication date: 1982

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(82)90054-8

zbMATH Keywords

augmentation idealsfinitely presented groupmetabelian groupslower central seriesfree group ringintegral dimension subgrouppreabelian presentation

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Solvable groups, supersolvable groups (20F16) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Generators, relations, and presentations of groups (20F05) Derived series, central series, and generalizations for groups (20F14) Commutator calculus (20F12)

Related Items

Dimension subgroups of metabelian p-groups ⋮ Dimension and lower central subgroups of metabelian p-groups ⋮ A solution of the dimension subgroup problem

Cites Work

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• Cohomological topics in group theory.
• On the fourth integer dimension subgroup