Hausdorff dimension in $R$-analytic profinite groups

Abstract

We study the Hausdorff dimension of R-analytic subgroups in an R-analytic profinite group, where R is a pro-p ring whose asso- ciated graded ring is an integral domain. In particular, we prove that the set of such Hausdorff dimensions is a finite subset of the rational numbers.

7 pages

References in corpus (1)

• Dimension and randomness in groups acting on rooted trees