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

2020/10/18 by Efrat, Ido
#12E30 #12G05 #16K50 #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2010.08970

Abstract

For m≥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 ⟨χ₁,χ₂,χ₃⟩, with χ₁,χ₂,χ₃∈ H¹(G_F,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 G_F.

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