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

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

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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, 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	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 - Dec 2015
Externally published	Yes

Bibliographical note

Funding Information:
The authors were supported by the Israel Science Foundation (grant No. 152/13). Tlie second author was also partially supported by the Kreitman foundation.

Publisher Copyright:
© Canadian Mathematical Society 2015.

Keywords

Brauer groups
Galois cohomology
Global ûelds
Triple massey products

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https://cms.math.ca/cmb/abstract/pdf/151299.pdf

Cite this

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Vanishing of massey products and brauer groups

Abstract

Bibliographical note

Keywords

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