61 citations · 163 across the 41 of their papers we have counts for
45 papers
Representation growth of quasi-semisimple profinite groups
Benjamin Klopsch, Margherita Piccolo, Britta Späth
The representation zeta function of a profinite group encodes the distribution of continuous irreducible complex representations of as a function of the dimension. Its absc…
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…
On the Hausdorff spectra of free pro- groups and certain -adic analytic groups
Iker de las Heras, Benjamin Klopsch, Anitha Thillaisundaram
We establish that finitely generated non-abelian direct products of free pro- groups have full Hausdorff spectrum with respect to the lower -series . This co…
The lower -series of analytic pro- groups and Hausdorff dimension
Iker de las Heras, Benjamin Klopsch, Anitha Thillaisundaram
Let be a -adic analytic pro- group of dimension . We produce an approximate series which descends regularly in strata and whose terms deviate from the lower -series…
Finite axiomatizability of the rank and the dimension of a pro- group
Martina Conte, Benjamin Klopsch
The Prüfer rank of a profinite group is the supremum, across all open subgroups of , of the minimal number of generators . It is known th…
The structure of groups with all proper quotients virtually nilpotent
Benjamin Klopsch, Martyn Quick
Just infinite groups play a significant role in profinite group theory. For each , we consider more generally JNNF profinite (or, in places, discrete) groups that are…