On the theory of soluble Lie algebras

DOI10.1007/BF01115083zbMath0164.03701OpenAlexW1980318351MaRDI QIDQ2529226

Humphrey M. Gastineau-Hills, Donald W. Barnes

Publication date: 1968

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/171038

zbMATH Keywords

solvable Lie algebrasformations

Mathematics Subject Classification ID

Solvable, nilpotent (super)algebras (17B30)

Related Items (40)

Supersolvable Malcev algebras ⋮ Lie algebras with nilpotent length greater than that of each of their subalgebras ⋮ ON LOCALLY DEFINED FORMATIONS OF SOLUBLE LIE AND LEIBNIZ ALGEBRAS ⋮ Abnormal depth in solvable lie algebras ⋮ Algorithms for soluble subalgebras of finite dimensional Lie algebras ⋮ On the Intersection of Maximal Subalgebras in a Lie Superalgebra ⋮ On 𝔉-Hypercentral and 𝔉-Hypereccentric Modules for Finite Soluble Groups ⋮ The Frattini \(p\)-subsystem of a solvable restricted Lie triple system ⋮ An analogue of lubeseder's theorem for formations of finite rings ⋮ The lattice of ideals of a nilpotent lie Algebra ⋮ On the Frattini subalgebra of a Malcev algebra ⋮ Some criteria for detecting capable Lie algebras ⋮ Unnamed Item ⋮ Engel subalgebras of \(n\)-Lie algebras ⋮ Ado-Iwasawa extras ⋮ On classes of finite rings ⋮ On Cartan subalgebras ⋮ Minimal Nonnilpotent Solvable Lie Algebras ⋮ On ϕ-ideals and the structure of Lie algebras ⋮ A Frattini Theory for Leibniz Algebras ⋮ CONDITIONS FOR A SCHUNCK CLASS TO BE A FORMATION ⋮ On $n$-maximal subalgebras of Lie algebras ⋮ The Frattini subalgebra of restricted Lie superalgebras ⋮ Saturated formations of soluble Lie algebras in characteristic O ⋮ On -hyperexcentric modules for Lie algebras ⋮ A characterization of the saturated closure of a homomorph of Lie algebras ⋮ Dimension preserving lattice isomorphisms of lie algebras ⋮ Lie Algebra 𝔉-Normalizers are Intravariant ⋮ Some theorems on saturated homomorphs of soluble Lie algebras ⋮ Cartan subalgebras of meta-nilpotent Lie algebras ⋮ Covering-avoidance for saturated formations of solvable Lie algebras ⋮ Complements of intervals and prefrattini subalgebras of solvable Lie algebras ⋮ The Frattini argument for Lie algebras ⋮ On the Lengths of Certain Chains of Subalgebras in Lie Algebras ⋮ Classes of algebras and closure operations ⋮ Faithful representations of Leibniz algebras ⋮ Solvable complemented Lie algebras ⋮ Supplements to Maximal Subalgebras of Lie Algebras ⋮ Unnamed Item ⋮ Schunck Classes of Soluble Leibniz Algebras

Cites Work

• Zur Theorie der endlichen auflösbaren Gruppen
• Sylowfunktionen in endlichen Gruppen
• Gaschütz functors on finite soluble groups
• H-Untergruppen in endlichen auflösbaren Gruppen
• On the cohomology of soluble Lie algebras
• On Cartan subalgebras of Lie algebras
• Kennzeichnung gesättigter Formationen

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