3 problems

Let $\overrightarrow{u}$ be an autocorrect sequence, and let a $\overrightarrow{u}$-Engel automorphism mean an automorphism satisfying the corresponding Engel condition. Consider a…

Let $L$ be a finite-dimensional Lie algebra. For a sequence $\overrightarrow{u}=\overrightarrow{u}(x,y)$, write $L(\overrightarrow{u})$ for the corresponding ideal and let the solv…

Let $G$ be a finite group. For a sequence $\overrightarrow{u}=\overrightarrow{u}(x,y)$, write $G(\overrightarrow{u})$ for the subgroup associated with the sequence and let the solv…