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Vanishing of Massey Products and Brauer Groups
Published online by Cambridge University Press: 20 November 2018
Abstract
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.
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- Copyright © Canadian Mathematical Society 2015
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