English

Hyperbolicity of T(6) Cyclically Presented Groups

Group Theory 2021-10-22 v2

Abstract

We consider groups defined by cyclic presentations where the defining word has length three and the cyclic presentation satisfies the T(6) small cancellation condition. We classify when these groups are hyperbolic. When combined with known results, this completely classifies the hyperbolic T(6) cyclically presented groups.

Keywords

Cite

@article{arxiv.2006.09018,
  title  = {Hyperbolicity of T(6) Cyclically Presented Groups},
  author = {Ihechukwu Chinyere and Gerald Williams},
  journal= {arXiv preprint arXiv:2006.09018},
  year   = {2021}
}

Comments

19 pages, 8 figures

R2 v1 2026-06-23T16:21:56.256Z