Type: Article
Publication Date: 2021-09-29
Citations: 1
DOI: https://doi.org/10.1017/s1474748021000426
Abstract For a prime number p and a free profinite group S on the basis X , let $S_{\left (n,p\right )}$ , $n=1,2,\dotsc ,$ be the p -Zassenhaus filtration of S . For $p>n$ , we give a word-combinatorial description of the cohomology group $H^2\left (S/S_{\left (n,p\right )},\mathbb {Z}/p\right )$ in terms of the shuffle algebra on X . We give a natural linear basis for this cohomology group, which is constructed by means of unitriangular representations arising from Lyndon words.
| Action | Title | Year | Authors |
|---|---|---|---|
| + | The kernel generating condition and absolute Galois groups | 2023 |
Ido Efrat |