Geodesic
Strengthened Wiegold Conjecture in the Theory of Nilpotent Lie Algebras
Matematičeskie zametki, Tome 111 (2022) no. 5, pp. 738-745

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In the present paper, we strengthen the assertion of the Wiegold conjecture for nilpotent Lie algebras over an infinite field by proving that if there exists a subset of a nilpotent Lie algebra $\mathfrak{g}$ consisting of elements of breadth not exceeding $n$ and satisfying some additional conditions, then the dimension of the commutator subalgebra $\mathfrak{g'}$ of $\mathfrak{g}$ does not exceed $n(n+1)/2$.
Keywords: nilpotent Lie algebras, finite $p$-groups, Wiegold conjecture, iterated constructions. 
@article{MZM_2022_111_5_a6,
     author = {A. A. Skutin},
     title = {Strengthened {Wiegold} {Conjecture} in the {Theory} of {Nilpotent} {Lie} {Algebras}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {738--745},
     publisher = {mathdoc},
     volume = {111},
     number = {5},
     year = {2022},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2022_111_5_a6/}
}
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A. A. Skutin. Strengthened Wiegold Conjecture in the Theory of Nilpotent Lie Algebras. Matematičeskie zametki, Tome 111 (2022) no. 5, pp. 738-745. http://geodesic.mathdoc.fr/item/MZM_2022_111_5_a6/