Lie Nilpotent Group Algebras and Upper Lie Codimension Subgroups

DOI10.1080/00927870600862698zbMath1112.16027OpenAlexW2018894498MaRDI QIDQ3422823

Francesco Catino, Ernesto Spinelli

Publication date: 14 February 2007

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

Full work available at URL: https://doi.org/10.1080/00927870600862698

zbMATH Keywords

group algebrasfinite \(p\)-groupsgroups of unitslower central seriesascending central seriesLie nilpotency classesupper Lie codimension subgroupsupper Lie dimension subgroups

Mathematics Subject Classification ID

Group rings (16S34) Series and lattices of subgroups (20D30) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Finite nilpotent groups, (p)-groups (20D15) Solvable, nilpotent (super)algebras (17B30)

Related Items

Group algebras with almost maximal Lie nilpotency index. ⋮ Lie Dimension Subgroups and Central Series Related to Group Algebras

Cites Work

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• The nilpotency class of the unit group of a modular group algebra. II
• The nilpotency class of the unit group of a modular group algebra. I
• On a special class of \(p\)-groups
• Group rings and their augmentation ideals
• Lie properties of the group algebra and the nilpotency class of the group of units
• The nilpotency class of the unit group of a modular group algebra. III
• On the Associated Lie Ring and the Adjoint Group of a Radical Ring
• Groups of Units of Modular Group Algebras
• Lie Dimension Subgroups, Lie Nilpotency Indices, and the Exponent of the Group of Normalized Units
• Wreath Products in Modular Group Rings
• Lie-Nilpotency Indices of Group Algebras
• The Centers of a Radical Ring
• Lie dimension subgroups