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• W3204641803 abstract "Abstract For a prime number p and a free profinite group S on the basis X , let $S_{left (n,pright )}$ , $n=1,2,dotsc ,$ be the p -Zassenhaus filtration of S . For $p>n$ , we give a word-combinatorial description of the cohomology group $H^2left (S/S_{left (n,pright )},mathbb {Z}/pright )$ 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." @default.
• W3204641803 created "2021-10-11" @default.
• W3204641803 creator A5064949725 @default.
• W3204641803 date "2021-09-29" @default.
• W3204641803 modified "2023-10-11" @default.
• W3204641803 title "THE <i>p</i>-ZASSENHAUS FILTRATION OF A FREE PROFINITE GROUP AND SHUFFLE RELATIONS" @default.
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• W3204641803 doi "https://doi.org/10.1017/s1474748021000426" @default.
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