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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…