Triple Massey products and absolute Galois groups

DOI10.4171/JEMS/748zbMATH Open1425.12004arXiv1412.7265OpenAlexW2963836579MaRDI QIDQ1687382

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Publication date: 29 December 2017

Published in: (Search for Journal in Brave)

Abstract: Let $p$ be a prime number, $F$ a field containing a root of unity of order $p$, and $G_F$ the absolute Galois group. Extending results of Hopkins, Wickelgren, Minac and Tan, we prove that the triple Massey product $H^1(G_F{)}^{3}o{H}^2(G_F)$ contains $0$ whenever it is nonempty. This gives a new restriction on the possible profinite group structure of $G_F$.

Full work available at URL: https://arxiv.org/abs/1412.7265

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