Vanishing of massey products and brauer groups

Ido Efrat; Eliyahu Matzri

doi:10.4153/CMB-2015-026-5

Vanishing of massey products and brauer groups

Ido Efrat, Eliyahu Matzri

Department of Mathematics

Ben-Gurion University of the Negev

Research output: Contribution to journal › Article › peer-review

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, 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.

Original language	American English
Pages (from-to)	730-740
Number of pages	11
Journal	Canadian Mathematical Bulletin
Volume	58
Issue number	4
DOIs	https://doi.org/10.4153/CMB-2015-026-5
State	Published - 1 Dec 2015

Keywords

Brauer groups
Galois cohomology
Global ûelds
Triple massey products

All Science Journal Classification (ASJC) codes

General Mathematics

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10.4153/CMB-2015-026-5

Cite this

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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, Min{\'a}{\v c} and T{\^a}n, to classical results in the theory of central simple algebras. We prove a stronger form of the vanishing property for global fields.",

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N2 - 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, 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.

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Vanishing of massey products and brauer groups

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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