53 citations · 110 across the 8 of their papers we have counts for
4 papers · 1 filter
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 finitely generated Hausdorff spectra of a family of pro- groups
Iker de las Heras, Anitha Thillaisundaram
Recently the first example of a family of pro- groups, for a prime, with full normal Hausdorff spectrum was constructed. In this paper we further investigate this family by…
Powerfully solvable and powerfully simple groups
Iker de las Heras, Gunnar Traustason
We introduce the notion of a powerfully solvable group. These are powerful groups possessing an abelian series of a special kind. These groups include in particular the class of po…
Hausdorff dimension of closed subsets in profinite groups
Iker de las Heras
A countably based profinite group can be naturally seen as a metric space with respect to a given filtration, and thus, it has a well defined Hausdorff dimension function. Barnea a…