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arXiv · 1410.0502

Vanishing of Massey products and Brauer groups

Ido Efrat·Eliyahu Matzri
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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.

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Ido Efrat, Eliyahu Matzri. 2014-10-02. Vanishing of Massey products and Brauer groups. https://doi.org/10.4153/cmb-2015-026-5

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