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

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

19 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

Funding Information:
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.

Publisher Copyright:
© European Mathematical Society 2017.

Keywords

Absolute Galois groups
Galois cohomology
Triple Massey products

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10.4171/JEMS/748

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Triple Massey products and absolute Galois groups

Abstract

Bibliographical note

Keywords

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