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, 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.
Bibliographical noteFunding Information:
The authors were supported by the Israel Science Foundation (grant No. 152/13). Tlie second author was also partially supported by the Kreitman foundation.
© Canadian Mathematical Society 2015.
- Brauer groups
- Galois cohomology
- Global ûelds
- Triple massey products