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

Research output: Working paper/PreprintPreprint

6 Downloads (Pure)

Abstract

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 $G_F$.
Original languageEnglish
StatePublished - 2020

Publication series

NameArxiv preprint

Keywords

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

Fingerprint

Dive into the research topics of '3-fold Massey products in Galois cohomology: The non-prime case'. Together they form a unique fingerprint.

Cite this