Dimension subgroups and Schur multiplicator

DOI10.1016/0022-4049(83)90039-7zbMath0518.20004OpenAlexW1980663274MaRDI QIDQ1053778

Lekh Raj Vermani, Inder Bir Singh Passi

Publication date: 1983

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(83)90039-7

zbMATH Keywords

filtrationnilpotent grouptorsion subgrouplower central series2-cocyclesSchur multiplicatordimension subgroupsnilpotent p-group

Mathematics Subject Classification ID

Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Nilpotent groups (20F18) Homological methods in group theory (20J05) Derived series, central series, and generalizations for groups (20F14)

Related Items (4)

Augmentation powers and group homology. ⋮ Some remarks on Schur multiplicator of a group being torsion-free ⋮ A TRANSFINITE FILTRATION OF SCHUR MULTIPLICATOR ⋮ Dimension subgroups and Schur multiplicator. II

Cites Work

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• The dimension subgroup problem
• On the fourth integer dimension subgroup
• Powers of the Augmentation Ideal in Group Rings of Infinite Nilpotent Groups
• The fourth dimension subgroups and polynomial maps, II
• Observations on group rings
• On the D-Series of a Finite Group
• Generalized nilpotent algebras and their adjoint groups
• The Augmentation Terminals of Certain Locally Finite Groups

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