Triple Massey products and absolute Galois groups

Ido Efrat, Eliyahu Matzri

Research output: Contribution to journalArticlepeer-review

19 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

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.


  • Absolute Galois groups
  • Galois cohomology
  • Triple Massey products


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