3-fold Massey products in Galois cohomology -- The non-prime case

Abstract

For $m\ge 2$, let $F$ be a field of characteristic prime to $m$ and containing the roots of unity of order $m$, and let $G_F$ be its absolute Galois group. We show that the 3-fold Massey products $⟨{\chi }_1,{\chi }_2,{\chi }_3⟩$, with ${\chi }_1,{\chi }_2,{\chi }_3\in H^1(G_F,\mathbb{Z}/m)$ and ${\chi }_1,{\chi }_3$ $\mathbb{Z}/m$-linearly independent, are non-essential. This was earlier proved for $m$ prime. Our proof is based on the study of unitriangular representations of $G_F$.

Minor improvements of the presentation. Several misprints fixed

References in corpus (1)

• Generalized Bockstein maps and Massey products