The Massey vanishing conjecture for number fields

Abstract

A conjecture of Mináč and Tân predicts that for any n>2, any prime p and any field k, the Massey product of n Galois cohomology classes in H^1(k,Z/pZ) must vanish if it is defined. We establish this conjecture when k is a number field.

33 pages; improved exposition, final version

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Cited by in corpus (9)

• 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
• Generalized Bockstein maps and Massey products
• Massey products and elliptic curves
• Non-formality of Galois cohomology modulo all primes
• The $p$-Zassenhaus Filtration of a Free Profinite Group and Shuffle Relations
• Massey products in the étale cohomology of number fields
• 3-fold Massey products in Galois cohomology -- The non-prime case