Complements of intervals and prefrattini subalgebras of solvable Lie algebras

DOI10.1090/S0002-9939-2012-11521-7zbMath1294.17010arXiv1104.3774OpenAlexW1996949837MaRDI QIDQ2838947

David A. Towers

Publication date: 4 July 2013

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1104.3774

zbMATH Keywords

Lie algebraresidualcomplementedprefrattini subalgebra

Mathematics Subject Classification ID

Structure theory for Lie algebras and superalgebras (17B05) Solvable, nilpotent (super)algebras (17B30) Modular Lie (super)algebras (17B50)

Related Items (5)

Maximal subalgebras and chief factors of Lie algebras ⋮ On maximal subalgebras and a generalized Jordan–Hölder theorem for Lie algebras ⋮ On complemented non-abelian chief factors of a Lie algebra ⋮ Solvable complemented Lie algebras ⋮ Subalgebras that cover or avoid chief factors of Lie algebras

Cites Work

• A lattice theoretic characterization of prefrattini subgroups
• On the theory of soluble Lie algebras
• Some theorems on saturated homomorphs of soluble Lie algebras
• Solvable complemented Lie algebras
• On Complemented Lie Algebras

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