The lower $p$-series of analytic pro-$p$ groups and Hausdorff dimension

Iker de las Heras, Benjamin Klopsch, Anitha Thillaisundaram

Let $G$ be a $p$-adic analytic pro-$p$ group of dimension $d$. We produce an approximate series which descends regularly in strata and whose terms deviate from the lower $p$-series…