Triple Massey products and absolute Galois groups

Ido Efrat, Eliyahu Matzri

Research output: Contribution to journalArticlepeer-review

28 Scopus citations


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 languageEnglish
Pages (from-to)3629-3640
Number of pages12
JournalJournal of the European Mathematical Society
Issue number12
StatePublished - 2017
Externally publishedYes

Bibliographical note

Publisher Copyright:
© European Mathematical Society 2017.


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.

FundersFunder number
BGU Center for Advanced Studies in Mathematics
Kreitman foundation
Israel Science Foundation152/13


    • Absolute Galois groups
    • Galois cohomology
    • Triple Massey products


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