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|Vanishing of Massey products and Brauer groups|
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 mod-$p$ Galois cohomology of $F$, due to Hopkins, Wickelgren, MinÃ¡Ä, and TÃ¢n, to classical results in the theory of central simple algebras. For global fields, we prove a stronger form of the vanishing property.
Keywords:Galois cohomology, Brauer groups, triple Massey products, global fields
Categories:16K50, 11R34, 12G05, 12E30