B. Klopsch

collaborators

4 papers

math.GR2026

Representation growth of quasi-semisimple profinite groups

Benjamin Klopsch, Margherita Piccolo, Britta SpÃ¤th

The representation zeta function of a profinite group $G$ encodes the distribution of continuous irreducible complex representations of $G$ as a function of the dimension. Its absc…

math.GR2025

Normal subgroups of non-torsion multi-EGS groups

Benjamin Klopsch, Anitha Thillaisundaram

We study the distribution of normal subgroups in non-torsion, regular branch multi-EGS groups and show that the congruence completions of such groups have bounded finite central wi…

math.GR2025

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…

math.GR2025

On the Hausdorff spectra of free pro- $p$ groups and certain $p$ -adic analytic groups

Iker de las Heras, Benjamin Klopsch, Anitha Thillaisundaram

We establish that finitely generated non-abelian direct products $G$ of free pro- $p$ groups have full Hausdorff spectrum with respect to the lower $p$ -series $L$ . This co…

Representation growth of quasi-semisimple profinite groups

Normal subgroups of non-torsion multi-EGS groups

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

On the Hausdorff spectra of free pro-p groups and certain p-adic analytic groups

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

On the Hausdorff spectra of free pro- $p$ groups and certain $p$ -adic analytic groups