Geodesic
Strengthened Wiegold Conjecture in the Theory of Nilpotent Lie Algebras
Matematičeskie zametki, Tome 111 (2022) no. 5, pp. 738-745 Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
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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/

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