Strengthened Wiegold Conjecture in the Theory of Nilpotent Lie Algebras

被引：0

作者：

Skutin, A. A. ^{[1
]}

机构：

[1] Lomonosov Moscow State Univ, Fac Mech & Math, Moscow 119899, Russia

来源：

MATHEMATICAL NOTES | 2022年 / 111卷 / 5-6期

基金：

俄罗斯基础研究基金会;

关键词：

nilpotent Lie algebras; finite p-groups; Wiegold conjecture; iterated constructions; COMMUTATOR SUBGROUPS; BREADTH;

D O I：

10.1134/S000143462205008X

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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 g consisting of elements of breadth not exceeding n and satisfying some additional conditions, then the dimension of the commutator subalgebra g' of g does not exceed n(n + 1)/2.

引用

页码：747 / 753

页数：7

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