2 papers
math.GR2020
Torsion Subgroups of Groups with Quadratic Dehn Function
Francis Wagner
We construct the first examples of finitely presented groups with quadratic Dehn function containing a finitely generated infinite torsion subgroup. These examples are "optimal" in…
math.GR2020
Torsion Subgroups of Groups with Cubic Dehn Function
Francis Wagner
We construct the first examples of finitely presented groups with cubic Dehn function containing a finitely generated infinite torsion subgroup. Moreover, we show that any infinite…