A note on the upper Lie nilpotency index of a group algebra

DOI10.1142/S1793557120500102zbMath1425.16019OpenAlexW2845508220WikidataQ115244527 ScholiaQ115244527MaRDI QIDQ5243697

Meena Sahai, Bhagwat Sharan

Publication date: 19 November 2019

Published in: Asian-European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793557120500102

zbMATH Keywords

group algebrasLie dimension subgroupsLie nilpotency index

Mathematics Subject Classification ID

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

Related Items (4)

Unnamed Item ⋮ Lie nilpotency index of a modular group algebra ⋮ A note on Lie nilpotent group algebras ⋮ On the lower Lie nilpotency index of a group algebra

Uses Software

• GAP

Cites Work

• Unnamed Item
• Unnamed Item
• A classification of some regular \(p\)-groups and its applications.
• Modular group algebras with almost maximal Lie nilpotency indices.
• 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
• Group algebras with almost minimal Lie nilpotency index
• 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
• Modular group algebras of Lie nilpotency index 8p − 6
• On Lie nilpotent modular group algebras

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