Torsion Subgroups of Groups with Cubic Dehn Function

Abstract

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 free Burnside group with sufficiently large odd exponent can be embedded as a subgroup of a finitely presented group with cubic Dehn function.

References in corpus (1)

• The word and conjugacy problems in lacunary hyperbolic groups