Triple Massey products and absolute Galois groups
Ido Efrat
Ben Gurion University of the Negev, Beer-Sheva, IsraelEliyahu Matzri
Ben Gurion University of the Negev, Beer-Sheva, Israel
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Abstract
Let be a prime number, a field containing a root of unity of order , and the absolute Galois group. Extending results of Hopkins, Wickelgren, Mináč and Tân, we prove that the triple Massey product contains 0 whenever it is non-empty. This gives a new restriction on the possible profinite group structure of .
Cite this article
Ido Efrat, Eliyahu Matzri, Triple Massey products and absolute Galois groups. J. Eur. Math. Soc. 19 (2017), no. 12, pp. 3629–3640
DOI 10.4171/JEMS/748