English

Torsion Subgroups of Groups with Cubic Dehn Function

Group Theory 2020-01-13 v1

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.

Keywords

Cite

@article{arxiv.2001.03261,
  title  = {Torsion Subgroups of Groups with Cubic Dehn Function},
  author = {Francis Wagner},
  journal= {arXiv preprint arXiv:2001.03261},
  year   = {2020}
}
R2 v1 2026-06-23T13:07:35.032Z