Nilpotent Lie Algebras with a Small Second Derived Quotient1

DOI10.1080/00927870802186193zbMath1178.17010OpenAlexW2122689834MaRDI QIDQ5301521

Laurie Zack

Publication date: 20 January 2009

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

Full work available at URL: https://doi.org/10.1080/00927870802186193

zbMATH Keywords

nilpotent Lie algebrassecond derived quotient

Mathematics Subject Classification ID

Solvable, nilpotent (super)algebras (17B30)

Related Items

Nilpotent Lie Algebras with a Small Second Derived Quotient¹ ⋮ Nilpotent Lie algebras of class 3 with 1-dimensional center and 3-dimensional derived subalgebra ⋮ Capable Lie algebras with the derived subalgebra of dimension 2 over an arbitrary field ⋮ Nilpotent Lie algebras of class 4 with the derived subalgebra of dimension 3 ⋮ On characterizing nilpotent Lie algebra by their multiplier, \(s(L)=6, 7\)

Cites Work

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• On a special class of \(p\)-groups
• Groups of prime-power order with a small second derived quotient.
• The derived group of a 2-group
• Nilpotent Lie Algebras with a Small Second Derived Quotient¹