• Corpus ID: 119658056

# Triple Massey products in Galois cohomology

@article{Matzri2014TripleMP,
title={Triple Massey products in Galois cohomology},
author={Eliyahu Matzri},
journal={arXiv: Rings and Algebras},
year={2014}
}
• Eliyahu Matzri
• Published 15 November 2014
• Mathematics
• arXiv: Rings and Algebras
Fix an arbitrary prime $p$. Let $F$ be a field, containing a primitive $p$-th root of unity, with absolute Galois group $G_F$. The triple Massey product (in the mod-$p$ Galois cohomology) is a partially defined, multi-valued function $\langle \cdot,\cdot,\cdot \rangle: H^1(G_F)^3\rightarrow H^2(G_F).$ In this work we prove a conjecture made in [11] stating that any defined triple Massey product contains zero. As a result the pro-$p$ groups appearing in [11] are excluded from being absolute…
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We show that any triple Massey product with respect to prime 2 contains 0 whenever it is defined over any field. This extends the theorem of M. J. Hopkins and K. G. Wickelgren, from global fields to
Triple Massey products over global fields
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Let $K$ be a global field which contains a primitive $p$-th root of unity, where $p$ is a prime number. M. J. Hopkins and K. G. Wickelgren showed that for $p=2$, any triple Massey product over $K$
Vanishing of Massey Products and Brauer Groups
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Abstract Let $p$ be a prime number and $F$ a field containing a root of unity of order $p$ . We relate recent results on vanishing of triple Massey products in the $\bmod-p$ Galois cohomology of $F$