A pro-$p$ group with full normal Hausdorff spectra

Iker de las Heras, Benjamin Klopsch

For each odd prime $p$, we produce a $2$-generated pro-$p$ group $G$ whose normal Hausdorff spectra \[ \mathrm{hspec}_{\trianglelefteq}^{\mathcal{S}}(G) = \{ \mathrm{hdim}_{G}^{\ma…