@article {
author = {Arabyani, Homayoon},
title = {On dimension of Lie Algebras and nilpotent Lie algebras},
journal = {Mathematics and Computational Sciences},
volume = {3},
number = {1},
pages = {33-36},
year = {2022},
publisher = {Qom University of Technology},
issn = {2717-2708},
eissn = {},
doi = {10.30511/mcs.2022.543524.1051},
abstract = {Schur proved that if the center of a group G has finite index, then the derived subgroup G′ is also finite. Moneyhun proved that if L is a Lie algebra such that dim(L/Z(L)) = n, then dim(L^2) ≤1/2n(n-1) In this paper, we extend the converse of Moneyhun’s theorem. Also, we prove a wellknown result of nilpotent Lie algebras by using a different technique},
keywords = {Nilpotent Lie algebra,Derived subalgebra,Frattini subalgebra},
url = {http://mcs.qut.ac.ir/article_249003.html},
eprint = {http://mcs.qut.ac.ir/article_249003_5a5b75d9c59ab2da1f32a9096c5cf336.pdf}
}