Oriented graphs, pro-$p$ groups and Massey products in Galois cohomology
Oriented graphs, pro-$p$ groups and Massey products in Galois cohomology
Let $p$ be a prime. We characterize the oriented right-angled Artin pro-$p$ groups whose $\mathbb{F}_p$-cohomology algebra yields no essential $n$-fold Massey products for every $n>2$, in terms of the associated oriented graph. Moreover, we show that the $\mathbb{F}_p$-cohomology algebra of such oriented right-angled Artin pro-$p$ groups is isomorphic to the …