Identifications in a free group

DOI10.1016/0022-4049(87)90113-7zbMath0634.16005OpenAlexW2038068406MaRDI QIDQ1096700

T. C. Hurley

Publication date: 1987

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(87)90113-7

zbMATH Keywords

lower central seriesbasic commutatorsaugmentation idealisolatorfree group ring

Mathematics Subject Classification ID

Group rings (16S34) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Free nonabelian groups (20E05) Derived series, central series, and generalizations for groups (20F14) Commutator calculus (20F12)

Related Items (7)

Unnamed Item ⋮ THE FOX PROBLEM FOR FREE RESTRICTED LIE ALGEBRAS ⋮ Identifications in modular group algebras. ⋮ The modular fox subgroups ⋮ Fox-type problems in enveloping algebras ⋮ Capability of nilpotent products of cyclic groups II ⋮ Groups related to fox subgroups

Cites Work

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• On a problem of Fox
• On Gupta representations of central extensions
• Some properties of Fox subgroups of free groups
• Free differential calculus. I: Derivation in the free group ring. II: The isomerphism problem of groups. III: Subgroups
• Cohomological topics in group theory.
• A Problem of R. H. Fox
• On Commutators and Powers in Groups
• Basic commutators
• Fox subgroups of free groups

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