Ido Efrat, Eliyahu Matzri
Published 2014-12-23Version 1
Let $p$ be a prime number, $F$ a field containing a root of unity of order $p$, and $G_F$ the absolute Galois group. Extending results of Hopkins, Wickelgren, Minac and Tan, we prove that the triple Massey product $H^1(G_F)^3\to H^2(G_F)$ contains $0$ whenever it is nonempty. This gives a new restriction on the possible profinite group structure of $G_F$.
Comments: A first version of this paper, by the second-named author, was earlier posted as arXiv:1411.4146. The current version gives a purely group-cohomological proof of the main result
On the descending central sequence of absolute Galois groups
Galois groups and cohomological functors
Free product of absolute Galois groups
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