Vanishing of Massey Products and Brauer Groups
Printed: Dec 2015
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, Mináċ, and Tân, to classical
results in the theory of central simple algebras.
For global fields, we prove a stronger form of the vanishing
Galois cohomology, Brauer groups, triple Massey products, global fields
16K50 - Brauer groups [See also 12G05, 14F22]
11R34 - Galois cohomology [See also 12Gxx, 19A31]
12G05 - Galois cohomology [See also 14F22, 16Hxx, 16K50]
12E30 - Field arithmetic