Lie Dimension Subgroups and Central Series Related to Group Algebras

DOI10.1142/S1005386709000418zbMath1183.16020OpenAlexW1983481498WikidataQ115245052 ScholiaQ115245052MaRDI QIDQ5322269

Ernesto Spinelli

Publication date: 20 July 2009

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

Full work available at URL: https://doi.org/10.1142/s1005386709000418

zbMATH Keywords

group algebrascentral seriesLie nilpotency classesLie dimension subgroupsLie centreLie codimension subgroups

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) Solvable, nilpotent (super)algebras (17B30) Derived series, central series, and generalizations for groups (20F14) Lie (super)algebras associated with other structures (associative, Jordan, etc.) (17B60)

Cites Work

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• On the Lie ideals of a ring
• Residually Lie nilpotent group rings
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• Lie centre-by-metabelian group algebras in even characteristic. I
• The dimension subgroup problem
• Restricted lie dimension subgroups
• Lie Nilpotent Group Algebras and Upper Lie Codimension Subgroups
• Lie-Nilpotency Indices of Group Algebras
• The Centers of a Radical Ring
• Lie dimension subgroups

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