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Vanishing of Massey Products and Brauer Groups

Published online by Cambridge University Press:  20 November 2018

Ido Efrat  and
Eliyahu Matzri
Ido Efrat
Affiliation:
Department of Mathematics, Ben-Gurion University of the Negev, Be’er-Sheva 84105, Israel e-mail: efrat@math.bgu.ac.ilelimatzri@gmail.com
Eliyahu Matzri
Affiliation:
Department of Mathematics, Ben-Gurion University of the Negev, Be’er-Sheva 84105, Israel e-mail: efrat@math.bgu.ac.ilelimatzri@gmail.com
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Abstract

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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.

Keywords

16K5011R3412G0512E30Galois cohomologyBrauer groupstriple Massey products, global fields
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 58 , Issue 4 , 01 December 2015 , pp. 730 - 740
Copyright
Copyright © Canadian Mathematical Society 2015

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