English

Bicollapsibility and groups with torsion

Group Theory 2020-02-10 v2 Geometric Topology

Abstract

We introduce the notion of a bicollapsible 2-complex. This allows us to generalize the hyperbolicity of one-relator groups with torsion to a broader class of groups with presentations whose relators are proper powers. We also prove that many such groups act properly and cocompactly on a CAT(0) cube complex.

Keywords

Cite

@article{arxiv.1810.12377,
  title  = {Bicollapsibility and groups with torsion},
  author = {Jonah Gaster and Daniel T. Wise},
  journal= {arXiv preprint arXiv:1810.12377},
  year   = {2020}
}

Comments

18 pages, 6 figures, comments welcome!

R2 v1 2026-06-23T04:56:41.918Z