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.
|Number of pages||12|
|Journal||Journal of the European Mathematical Society|
|State||Published - 2017|
Bibliographical noteFunding 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.
© European Mathematical Society 2017.
- Absolute Galois groups
- Galois cohomology
- Triple Massey products