scientific article; zbMATH DE number 7614198

MaRDI QIDQ5047009

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Publication date: 9 November 2022

Full work available at URL: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1694

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zbMATH Keywords

group algebrasLie dimension subgroupsLie nilpotency index

Mathematics Subject Classification ID

Group rings (16S34) Solvable, nilpotent (super)algebras (17B30)

Uses Software

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Cites Work

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• Lie ideals in group rings
• A classification of some regular \(p\)-groups and its applications.
• Modular group algebras with almost maximal Lie nilpotency indices.
• The groups of exponent p and order \(p^ 7\) (p any prime)
• 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
• Strongly Lie nilpotent group algebras of index at most 8
• Group algebras with almost minimal Lie nilpotency index
• Modular group algebras with small Lie nilpotency indices
• Lie Nilpotency Indices of Modular Group Algebras
• Lie Dimension Subgroups, Lie Nilpotency Indices, and the Exponent of the Group of Normalized Units
• The Groups of Order p 6 (p and Odd Prime)
• A note on Lie nilpotent group rings
• Lie-Nilpotency Indices of Group Algebras
• Modular group algebras of Lie nilpotency index 8p − 6
• Group algebras of Lie nilpotency index 12 and 13
• On the lower Lie nilpotency index of a group algebra
• A note on the upper Lie nilpotency index of a group algebra
• On Lie nilpotent modular group algebras

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