Vanishing of Massey Products and Brauer Groups
Canadian mathematical bulletin, Tome 58 (2015) no. 4, pp. 730-740
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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.
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
@article{10_4153_CMB_2015_026_5,
author = {Efrat, Ido and Matzri, Eliyahu},
title = {Vanishing of {Massey} {Products} and {Brauer} {Groups}},
journal = {Canadian mathematical bulletin},
pages = {730--740},
year = {2015},
volume = {58},
number = {4},
doi = {10.4153/CMB-2015-026-5},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2015-026-5/}
}
TY - JOUR AU - Efrat, Ido AU - Matzri, Eliyahu TI - Vanishing of Massey Products and Brauer Groups JO - Canadian mathematical bulletin PY - 2015 SP - 730 EP - 740 VL - 58 IS - 4 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-2015-026-5/ DO - 10.4153/CMB-2015-026-5 ID - 10_4153_CMB_2015_026_5 ER -
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