LIE SOLVABLE GROUP ALGEBRAS OF DERIVED LENGTH THREE IN CHARACTERISTIC THREE

DOI10.1142/S0219498812500983zbMath1262.16020WikidataQ115245686 ScholiaQ115245686MaRDI QIDQ4649496

Meena Sahai, Harish Chandra

Publication date: 22 November 2012

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

zbMATH Keywords

group algebrasmetabelian groups2-Engel groupsderived subgroupLie derived lengthsLie commutatorsLie solvable algebras

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) Engel conditions (20F45)

Related Items (3)

Strongly Lie solvable group algebras of derived length 4 ⋮ A note on Lie nilpotent group algebras ⋮ Strongly Lie nilpotent group algebras of index at most 8

Cites Work

• Unnamed Item
• Group algebras with minimal Lie derived length.
• Lie centrally metabelian group rings
• A note on Lie centrally metabelian group algebras
• Lie centrally metabelian group rings in characteristic 3
• Lie solvable group algebras of derived length three
• Lie centre-by-metabelian group algebras in even characteristic. I
• Lie centre-by-metabelian group algebras in even characteristic. II
• GROUP ALGEBRAS WHICH ARE LIE SOLVABLE OF DERIVED LENGTH THREE
• Group Algebras Satisfying a Certain Lie Identity
• Lie Derived Lengths of Group Algebras of Groups with Cyclic Derived Subgroup
• Lie Solvable Group Rings

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