On varietal quotients defined by ideals generated by Fox derivatives

DOI10.1016/0022-4049(92)90094-VzbMath0774.20004MaRDI QIDQ1192256

Narain Gupta, Yuri Kuz'min

Publication date: 27 September 1992

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

zbMATH Keywords

wordsidentitiesfree groupfree differential calculuslower central seriesvariety of groupsverbal subgroupintegral group ringFox derivativesaugmentation idealvariety of nilpotent groupsintegral dimension subgroups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Group rings (16S34) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Free nonabelian groups (20E05) Quasivarieties and varieties of groups (20E10) Derived series, central series, and generalizations for groups (20F14)

Related Items (2)

Groups with non-central dimension quotients ⋮ Group and Lie algebra filtrations and homotopy groups of spheres

Cites Work

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• Homology in group theory
• Computing the ideal generated by Fox derivatives
• Dimension subgroups
• Free Group Rings
• Powers of the Augmentation Ideal in Group Rings of Infinite Nilpotent Groups
• VARIETIES OF GROUP REPRESENTATIONS

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