TY - UNPB

T1 - 3-fold Massey products in Galois cohomology

T2 - The non-prime case

AU - Efrat, Ido

PY - 2020

Y1 - 2020

N2 - For $m\geq2$, 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
$\langle\chi_1,\chi_2,\chi_3\rangle$, 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
$G_F$.

AB - For $m\geq2$, 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
$\langle\chi_1,\chi_2,\chi_3\rangle$, 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
$G_F$.

KW - Mathematics - Number Theory

KW - 12G05

KW - 12E30

KW - 16K50

M3 - ???researchoutput.researchoutputtypes.workingpaper.preprint???

T3 - Arxiv preprint

BT - 3-fold Massey products in Galois cohomology

ER -