@article {
author = {Vaughan-Lee, M.},
title = {Understanding Wall's theorem on dependence of Lie relators in Burnside groups},
journal = {Journal of the Iranian Mathematical Society},
volume = {1},
number = {2},
pages = {129-143},
year = {2020},
publisher = {Iranian Mathematical Society},
issn = {2717-1612},
eissn = {2717-1612},
doi = {10.30504/jims.2020.107524},
abstract = {G.E. Wall [J. Algebra 104 (1986), no. 1, 1--22; Lecture Notes in Mathematics, pp. 191--197, 1456, Springer-Verlag, Berlin, 1990] gave two different proofs of a remarkable result about the multilinear Lie relators satisfied by groups of prime power exponent $q$. He showed that if $q$ is a power of the prime $p$, and if $f$ is a multilinear Lie relator in $n$ variables where $n\neq1\operatorname{mod}(p-1)$, then $f=0$ is a consequence of multilinear Lie relators in fewer than $n$ variables. For years I have struggled to understand his proofs, and while I still have not the slightest clue about his proof in [J. Algebra 104 (1986), no. 1, 1--22], I finally have some understanding of his proof in [Lecture Notes in Mathematics, pp. 91--197, 1456, Springer-Verlag, Berlin, 1990]. In this note I offer my insights into Wall's second proof of this theorem.},
keywords = {Lie relators,Burnside groups,Wall's theorem},
url = {https://jims.ims.ir/article_107524.html},
eprint = {https://jims.ims.ir/article_107524_f75dbbf7321a14000589885d5d7b9665.pdf}
}