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Shows strong n-fold Massey vanishing property in number fields, indicating robust algebraic behavior.
Let n≥ 3 and p be an odd prime. We show that for every number field K with ζ ₚ ∉ K , the absolute and tame Galois groups Γ K and Γ ᵗᵃK of K satisfy the strong n-fold Massey vanishing property relative to p. Our work is based on an adaptation of the proof of the Scholz–Reichardt theorem.
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Maire et al. (2026) studied this question.
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