## 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 ⟨χ_{1},χ_{2},χ_{3}⟩, with χ_{1},χ_{2},χ_{3}∈H^{1}(G*,Z/*_{F}*m*) and χ_{1},χ_{3}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}.Original language | English |
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DOIs | |

State | Published - 18 Oct 2020 |

## Keywords

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