Characterization of nilpotent Lie algebras of breadth 3 over finite fields of odd characteristic

DOI10.1016/j.jalgebra.2021.07.015zbMath1477.17064OpenAlexW3183351928WikidataQ115350350 ScholiaQ115350350MaRDI QIDQ2049405

Borworn Khuhirun, Songpon Sriwongsa, Keng Wiboonton

Publication date: 25 August 2021

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2021.07.015

zbMATH Keywords

finite fieldsnilpotent Lie algebrasbreadth

Mathematics Subject Classification ID

Solvable, nilpotent (super)algebras (17B30)

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Cites Work

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• On nilpotent Lie algebras of small breadth
• \(p\)-groups of small breadth
• 2-groups of breadth 3.
• Unions and Common Complements of Subspaces
• Breadth and characteristic sequence of nilpotent Lie algebras