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- W4310829325 abstract "For a prime number $p$ and an integer $mgeq2$, we prove that the symbol length of all elements of $m$-fold Massey products in $H^2(G,mathbb{F}_p)$, for pro-$p$ groups $G$ of elementary type, is bounded by $(m^2/4)+m$. Assuming the Elementary Type Conjecture, this applies to all finitely generated maximal pro-$p$ Galois groups $G=G_F(p)$ of fields $F$ which contain a root of unity of order $p$. More generally, we provide such a uniform bound for the symbol length of all pullbacks $rho^*(baromega)$ of a given cohomology element $baromegain H^n(bar G,mathbb{F}_p)$, where $bar G$ is a finite $p$-group, $ngeq2$, and $rhocolon Gto bar G$ is a pro-$p$ group homomorphism." @default.
- W4310829325 created "2022-12-19" @default.
- W4310829325 creator A5064949725 @default.
- W4310829325 date "2022-12-05" @default.
- W4310829325 modified "2023-10-18" @default.
- W4310829325 title "The symbol length for elementary type pro-$p$ groups and Massey products" @default.
- W4310829325 doi "https://doi.org/10.48550/arxiv.2212.02249" @default.
- W4310829325 hasPublicationYear "2022" @default.
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