GROUP ALGEBRAS WITH UNIT GROUPS OF DERIVED LENGTH THREE

DOI10.1142/S0219498810003938zbMath1209.16028MaRDI QIDQ3562520

Harish Chandra, Meena Sahai

Publication date: 21 May 2010

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

zbMATH Keywords

group algebrasgroup ringsunit groupsderived lengthsderived series

Mathematics Subject Classification ID

Group rings (16S34) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Derived series, central series, and generalizations for groups (20F14) Units, groups of units (associative rings and algebras) (16U60)

Related Items (2)

Group rings with solvable unit groups of minimal derived length. ⋮ On group algebras whose group of units has maximal derived length

Cites Work

• Group algebras with centrally metabelian unit groups
• Meta-abelian unit groups of group algebras are usually abelian
• Mod \(2\) group algebras with metabelian unit groups
• A note on Lie centrally metabelian group algebras
• Lie solvable group algebras of derived length three
• On group algebras with metabelian unit groups
• Über den Frobenius'schen Klassenbegriff in nilpotenten Gruppen
• Observations on group rings
• A NOTE ON THE DERIVED LENGTH OF THE UNIT GROUP OF A MODULAR GROUP ALGEBRA
• ON THE DERIVED LENGTH OF THE GROUP OF UNITS OF A GROUP ALGEBRA
• Group Algebras with a Solvable Group of Units^#

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