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G.E. Wall gave two different proofs of a remarkable result about themultilinear Lie relators satisfied by groups of prime power exponent $q$. Heshowed that if $q$ is a power of the prime $p$, and if $f$ is a multilinear Lierelator in $n$ variables where $n\neq1\operatorname{mod}(p-1)$, then $f=0$ is aconsequence of multilinear Lie relators in fewer than $n$ variables. For yearsI have struggled to understand his proofs, and while I still have not theslightest clue about his first proof published in the Journal of Algebra, Ifinally have some understanding of his second proof published in a conferenceproceedings. In this note I offer my insights into Wall's second proof of thistheorem.

Understanding Wall's theorem on dependence of Lie relators in Burnside groups