Affiliation:
1. FernUniversität in Hagen Fakultät für Mathematik und Informatik Hagen Germany
Abstract
AbstractWe prove that every finitely generated, residually finite group embeds into a finitely generated perfect branch group such that many properties of are preserved under this embedding. Among those are the properties of being torsion, being amenable and not containing a non‐abelian free group. As an application, we construct a finitely generated, non‐amenable torsion branch group.
Funder
Deutsche Forschungsgemeinschaft
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