On the strong Massey vanishing property for number fields

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2026年7月7日

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Christian Maire,
Ján Mináč,
Ravi Ramakrishna,
Nguyễn Duy Tân

摘要

Let $n\ge 3$ $n \geq 3$ and p be an odd prime. We show that for every number field K with $\zeta _{p} \notin K$ $ζ_{p} \notin K$ , the absolute and tame Galois groups $\Gamma _K$ $Γ_{K}$ and $\Gamma ^{ta}_K$ $Γ_{K}^{ta}$ 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.