Vanishing of Massey Products and Brauer Groups
Canadian mathematical bulletin, Tome 58 (2015) no. 4, pp. 730-740

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DOI

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.
DOI : 10.4153/CMB-2015-026-5
Mots-clés : 16K50, 11R34, 12G05, 12E30, Galois cohomology, Brauer groups, triple Massey products, global fields
Efrat, Ido; Matzri, Eliyahu. Vanishing of Massey Products and Brauer Groups. Canadian mathematical bulletin, Tome 58 (2015) no. 4, pp. 730-740. doi: 10.4153/CMB-2015-026-5
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     title = {Vanishing of {Massey} {Products} and {Brauer} {Groups}},
     journal = {Canadian mathematical bulletin},
     pages = {730--740},
     year = {2015},
     volume = {58},
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     doi = {10.4153/CMB-2015-026-5},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2015-026-5/}
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