Magnus embeddings and residual nilpotence

DOI10.1016/0021-8693(87)90023-8zbMath0622.20002OpenAlexW2008653391MaRDI QIDQ1090757

Chander Kanta Gupta, Inder Bir Singh Passi

Publication date: 1987

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8693(87)90023-8

zbMATH Keywords

free groupresidually nilpotentintegral group ringaugmentation ideal

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Nilpotent groups (20F18) Free nonabelian groups (20E05) Residual properties and generalizations; residually finite groups (20E26) Commutator calculus (20F12)

Related Items (2)

Homotopical and combinatorial aspects of the theory of normal series in groups. ⋮ Some applications of free differential calculus in group theory

Cites Work

• A note on free presentations and residual nilpotence
• Some properties of Fox subgroups of free groups
• The residual nilpotency of the augmentation ideal and the residual nilpotency of some classes of groups
• Group algebras
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