Comparison of the Discrete and Continuous Cohomology Groups of a Pro-$p$ Group

Gustavo A. Fernandez-Alcober, Ilya V. Kazachkov, Vladimir N. Remeslennikov +1

We address the following question. For which finitely generated pro-$p$ groups the comparison map $ϕ^2:H_{cont}^{2}(P,\F_p) \to H_{disc}{2}(P,\F_p)$ is an isomorphism? We prove tha…