Restricted lie dimension subgroups

DOI10.1080/00927879108824215zbMath0727.20003OpenAlexW2059320692MaRDI QIDQ3349080

David M. Riley

Publication date: 1991

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

Full work available at URL: https://doi.org/10.1080/00927879108824215

zbMATH Keywords

group algebraLie powersaugmentation ideal2-sided idealleft normed Lie commutatorsrestricted Lie dimension subgroup

Mathematics Subject Classification ID

Group rings (16S34) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Derived series, central series, and generalizations for groups (20F14) Associated Lie structures for groups (20F40)

Related Items

Unnamed Item ⋮ Lie Dimension Subgroups and Central Series Related to Group Algebras ⋮ The nilpotency class of the unit group of a modular group algebra. III

Cites Work

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• Lie ideals in group rings
• On the Lie ideals of a ring
• Lie dimension subgroups
• On rings whose associated Lie rings are nilpotent

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