English

Triple Massey products vanish over all fields

Number Theory 2017-05-17 v3 Group Theory

Abstract

We show that the absolute Galois group of any field has the vanishing triple Massey product property. Several corollaries for the structure of maximal pro-pp-quotient of absolute Galois groups are deduced. Furthermore, the vanishing of some higher Massey products is proved.

Keywords

Cite

@article{arxiv.1412.7611,
  title  = {Triple Massey products vanish over all fields},
  author = {Jan Minac and Nguyen Duy Tan},
  journal= {arXiv preprint arXiv:1412.7611},
  year   = {2017}
}

Comments

We have improved our exposition following the referee's suggestions. The article will appear in the Journal of the London Mathematical Society

R2 v1 2026-06-22T07:43:11.668Z