Vanishing of Massey products and Brauer groups

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 mod-p Galois cohomology of F, due to Hopkins, Wickelgren, Minac, and Tan, to classical results in the theory of central simple algebras. For global fields, we prove a stronger form of the vanishing property.

Added more references. Section 5 revised. To appear in the Canadian Mathematical Bulletin

References in corpus (1)

• The Kernel Unipotent Conjecture and the vanishing of Massey products for odd rigid fields

Cited by in corpus (2)

• Triple Massey products vanish over all fields
• Four-fold Massey products in Galois cohomology