Vanishing of Massey Products and Brauer Groups

Efrat, Ido ; Matzri, Eliyahu

Canadian mathematical bulletin, Tome 58 (2015) no. 4, pp. 730-740

Résumé

Let $p$ be a prime number and $F$ a field containing a root of unity of order $p$ . We relate recent results on vanishing of triple Massey products in the $\bmod-p $ Galois cohomology of $F$ , due to Hopkins, Wickelgren, Mináč, and Tân, to classical results in the theory of central simple algebras. We prove a stronger form of the vanishing property for global fields.

Détail

DOI : 10.4153/CMB-2015-026-5

Mots-clés : 16K50, 11R34, 12G05, 12E30, Galois cohomology, Brauer groups, triple Massey products, global fields

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