3 papers
math.GR2021
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…
math.GR2020
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…
math.GR2020
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…