A note on Lie nilpotent group rings

DOI10.1017/S0004972700030409zbMath0746.16021WikidataQ115336947 ScholiaQ115336947MaRDI QIDQ3987910

Vikas Bist, Rajendra K. Sharma

Publication date: 28 June 1992

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

nilpotent groupgroup algebraunit groupstrongly Lie nilpotentcentral subgroup

Mathematics Subject Classification ID

Group rings (16S34) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Units, groups of units (associative rings and algebras) (16U60)

Related Items (16)

Group algebras with almost maximal Lie nilpotency index. ⋮ Lie nilpotency indices of modular group algebras II ⋮ Modular group algebras with almost maximal Lie nilpotency indices. ⋮ Modular group algebras of Lie nilpotency index 8p − 6 ⋮ On the Lie nilpotency indices of modular group algebras ⋮ Group algebras of Lie nilpotency index 12 and 13 ⋮ Unnamed Item ⋮ Nilpotency Indices of Symmetric Elements of Group Algebras ⋮ Lie nilpotency index of a modular group algebra ⋮ On Lie nilpotent modular group algebras ⋮ Group algebras of Lie nilpotency index 14 ⋮ Lie Nilpotency Indices of Modular Group Algebras ⋮ A note on the upper Lie nilpotency index of a group algebra ⋮ On the lower Lie nilpotency index of a group algebra ⋮ Strongly Lie nilpotent group algebras of index at most 8 ⋮ The nilpotency class of the unit group of a modular group algebra. III

Cites Work

• Lie ideals in group rings
• On the Lie ideals of a ring
• On Lie nilpotent group rings
• Unnamed Item

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