Lie Derived Lengths of Group Algebras of Groups with Cyclic Derived Subgroup

DOI10.1080/00927870701713055zbMath1142.16011OpenAlexW1981686250MaRDI QIDQ5456487

Zsolt Balogh, Tibor Juhász

Publication date: 8 April 2008

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

Full work available at URL: https://doi.org/10.1080/00927870701713055

zbMATH Keywords

group algebrasLie productsLie derived lengthsstrong Lie derived seriesgroups with cyclic derived subgroupstrongly Lie solvable algebras

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) Solvable, nilpotent (super)algebras (17B30)

Related Items (4)

Group algebras with minimal Lie derived length. ⋮ GROUP ALGEBRAS WHICH ARE LIE SOLVABLE OF DERIVED LENGTH THREE ⋮ LIE SOLVABLE GROUP ALGEBRAS OF DERIVED LENGTH THREE IN CHARACTERISTIC THREE ⋮ COMMUTATOR IDENTITIES ON SYMMETRIC ELEMENTS OF GROUP ALGEBRAS

Cites Work

• Zur Darstellungstheorie der Gruppen endlicher Ordnung. I, II
• The derived length of Lie soluble group rings. I
• Lie solvable group algebras of derived length three
• The Derived Length of Lie Soluble Group Rings II
• Lie Solvable Group Rings

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