For m≥2, let F be a field of characteristic prime to m and containing the roots of unity of order m, and let GF be its absolute Galois group. We show that the 3-fold Massey products ⟨χ1,χ2,χ3⟩, with χ1,χ2,χ3∈H1(GF,Z/m) and χ1,χ3 Z/m-linearly independent, are non-essential. This was earlier proved for m prime. Our proof is based on the study of unitriangular representations of GF.
|State||Published - 18 Oct 2020|
- Mathematics - Number Theory