TY - UNPB
T1 - 3-fold Massey products in Galois cohomology -The non-prime case
AU - Efrat, Ido
PY - 2020/10/18
Y1 - 2020/10/18
N2 - 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.
AB - 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.
KW - 12E30
KW - 12G05
KW - 16K50
KW - Mathematics - Number Theory
U2 - 10.48550/arXiv.2010.08970
DO - 10.48550/arXiv.2010.08970
M3 - Preprint
BT - 3-fold Massey products in Galois cohomology -The non-prime case
ER -