Some remarks on Lie dimension subgroups (Q1178043)

We use the notation of the preceding review Zbl 0761.20003. In this paper the authors show that \(D_{[n]}(G)\neq \gamma_ n(G)\) for \(9\leq n\leq 13\). This result combined with the Hurley-Sehgal result now shows that for \(n\geq 9\), \(D_{[n]}(G)\neq \gamma_ n(G)\). The authors' theorem requires substantial computations with commutators. They also show that for \(n\geq 2\), \(D_{4n}(G)\nsubseteq\gamma_{3n+1}(G)\) in the course of proving the above.