Residually Lie nilpotent group rings

DOI10.1007/BF01198635zbMath0767.16005WikidataQ115393920 ScholiaQ115393920MaRDI QIDQ1193277

Ashwani K. Bhandari, Inder Bir Singh Passi

Publication date: 27 September 1992

Published in: Archiv der Mathematik (Search for Journal in Brave)

zbMATH Keywords

group ringleft-normed Lie commutatorsresidually Lie nilpotent

Mathematics Subject Classification ID

Group rings (16S34) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Nil and nilpotent radicals, sets, ideals, associative rings (16N40) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Solvable, nilpotent (super)algebras (17B30)

Related Items (3)

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

• Unnamed Item
• Lie ideals in group rings
• Dimension subgroups, nilpotency indices, and the number of generators of ideals in p-group algebras
• On the Lie ideals of a ring
• On Lie nilpotent group rings
• Integral group rings with residually nilpotent unit groups
• Annihilators of relation modules. II
• Group rings and their augmentation ideals
• The dimension subgroup problem
• Lie Dimension Subgroups, Lie Nilpotency Indices, and the Exponent of the Group of Normalized Units
• Lie dimension subgroups
• Polynomial Ideals in Group Rings
• Endliche Gruppen I
• Lie Solvable Group Rings
• On rings whose associated Lie rings are nilpotent

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