Triple Massey products and absolute Galois groups

Ido Efrat; Eliyahu Matzri

doi:10.4171/JEMS/748

Triple Massey products and absolute Galois groups

Ido Efrat, Eliyahu Matzri

Ben-Gurion University of the Negev

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

30 Scopus citations

Abstract

Let p be a prime number, F a field containing a root of unity of order p, and GF the absolute Galois group. Extending results of Hopkins, Wickelgren, Minac and Tân, we prove that the triple Massey product H¹.(GF) ³ → H²(GF) contains 0 whenever it is non-empty. This gives a new restriction on the possible profinite group structure of GF.

Original language	English
Pages (from-to)	3629-3640
Number of pages	12
Journal	Journal of the European Mathematical Society
Volume	19
Issue number	12
DOIs	https://doi.org/10.4171/JEMS/748
State	Published - 2017
Externally published	Yes

Bibliographical note

Publisher Copyright:
© European Mathematical Society 2017.

Funding

The authors were supported by the Israel Science Foundation (grant No. 152/13). The second author was also partially supported by the Kreitman foundation and the BGU Center for Advanced Studies in Mathematics.

Funders	Funder number
BGU Center for Advanced Studies in Mathematics
Kreitman foundation
Israel Science Foundation	152/13

Keywords

Absolute Galois groups
Galois cohomology
Triple Massey products

Access to Document

10.4171/JEMS/748

Cite this

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Triple Massey products and absolute Galois groups

Abstract

Bibliographical note

Funding

Keywords

Access to Document

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