تقرير
Understanding Wall's theorem on dependence of Lie relators in Burnside groups
| العنوان: | Understanding Wall's theorem on dependence of Lie relators in Burnside groups |
|---|---|
| المؤلفون: | Vaughan-Lee, Michael |
| سنة النشر: | 2020 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Group Theory, 20D15, 16W10 |
| الوصف: | G.E. Wall 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 first proof published in the Journal of Algebra, I finally have some understanding of his second proof published in a conference proceedings. In this note I offer my insights into Wall's second proof of this theorem. Comment: 18 pages |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2002.00359 |
| رقم الأكسشن: | edsarx.2002.00359 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |