Triple Massey products vanish over all fields

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-$p$-quotient of absolute Galois groups are deduced. Furthermore, the vanishing of some higher Massey products is proved.

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

References in corpus (2)

• Vanishing of Massey products and Brauer groups
• Triple Massey products and absolute Galois groups

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• Groups of p-absolute Galois type that are not absolute Galois groups
• Enhanced Koszul properties in Galois cohomology
• Massey products in Galois cohomology and the Elementary Type Conjecture
• Two families of pro-p groups that are not absolute Galois groups
• Massey products and elliptic curves
• Demushkin groups of uncountable rank
• Massey products in the étale cohomology of number fields