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

Research output: Working paperPreprint


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 ⟨χ123⟩, with χ123∈H1(GF,Z/m) and χ13 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.
Original languageAmerican English
StatePublished - 18 Oct 2020


  • 12E30
  • 12G05
  • 16K50
  • Mathematics - Number Theory


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