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 | |
State | Published - 1 Jan 2017 |
Keywords
- Absolute Galois groups
- Galois cohomology
- Triple Massey products
ASJC Scopus subject areas
- General Mathematics
- Applied Mathematics