Pro-Hall $R$-groups and groups discriminated by the free pro-$p$ group

Montserrat Casals-Ruiz, Ilya Kazachkov, Vladimir Remeslennikov

In this note we introduce pro-Hall $R$-groups as inverse limits of Hall $R$-groups and show that for the binomial closure $S^{bin}$ of any ring $S$ discriminated by ${\mathbb{Z}}_p$,…