Some results on nilpotent Lie algebras

Document Type : Research Paper

Author

Department of Mathematics, Rasht Branch, Islamic Azad University, Rasht, Iran

Abstract

Let L be a finite dimensional Lie algebra over an arbitrary field F. In this paper, we prove that the class of finite nilpotent(solvable) Lie algebras is an example of formation.
Furthermore, we conclude that every finite Lie algebra has a nilpotent(solvable) residual. Finally we prove some results on Frattini and Fitting subalgebras of the nilpotent Lie algebra L.

Keywords

References

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5. E.I. Marshall, The Frattini subalgebra of a Lie algebra, Journal London Math.
Soc, 42 (1967), 416-422.
6. J. S. Rose, A course on group theory, Cambridge university press, Cambridge,
1978.
Journal of Algebra and Related Topics
Volume 11, Issue 2
December 2023
Pages 99-103

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