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

Department of Mathematics

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

35 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 - 1 Jan 2017

Keywords

Absolute Galois groups
Galois cohomology
Triple Massey products

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

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10.4171/JEMS/748

Cite this

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title = "Triple Massey products and absolute Galois groups",

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 T{\^a}n, 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.",

keywords = "Absolute Galois groups, Galois cohomology, Triple Massey products",

author = "Ido Efrat and Eliyahu Matzri",

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AU - Matzri, Eliyahu

N1 - Publisher Copyright: © European Mathematical Society 2017.

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Y1 - 2017/1/1

N2 - 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.

AB - 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.

KW - Absolute Galois groups

KW - Galois cohomology

KW - Triple Massey products

UR - https://www.scopus.com/pages/publications/85018488120

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DO - 10.4171/JEMS/748

M3 - Article

AN - SCOPUS:85018488120

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EP - 3640

JO - Journal of the European Mathematical Society

JF - Journal of the European Mathematical Society

IS - 12

ER -

Triple Massey products and absolute Galois groups

Abstract

Keywords

ASJC Scopus subject areas

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