The Frattini subgroup of a Lie group and the topological rank of a Lie group

DOI10.1016/j.jalgebra.2023.10.026OpenAlexW4388672865MaRDI QIDQ6142853

Herbert Abels, Guennadi A. Noskov

Publication date: 4 January 2024

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2023.10.026

zbMATH Keywords

Frattini subgroup of a Lie groupnumber of generators of a Lie algebranumber of topological generators of a Lie group

Mathematics Subject Classification ID

Structure of general topological groups (22A05) Special subgroups (Frattini, Fitting, etc.) (20D25) General properties and structure of real Lie groups (22E15) Lie algebras and Lie superalgebras (17B99)

Cites Work

• On the nullity of Lie algebras
• Maximal subgroups and the Frattini subgroup of a Lie group
• On a theorem of Auslander
• The Frattini Subalgebra of a Lie Algebra
• On the Frattini Subalgebra of a Lie Algebra
• Endliche Gruppen I
• A Frattini Theory for Algebras
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