English

The Basilica Thompson group is not finitely presented

Group Theory 2016-03-04 v1 Geometric Topology

Abstract

We show that the Basilica Thompson group introduced by Belk and Forrest is not finitely presented, and in fact is not of type FP_2. The proof involves developing techniques for proving non-simple connectedness of certain subcomplexes of CAT(0) cube complexes.

Keywords

Cite

@article{arxiv.1603.01150,
  title  = {The Basilica Thompson group is not finitely presented},
  author = {Stefan Witzel and Matthew C. B. Zaremsky},
  journal= {arXiv preprint arXiv:1603.01150},
  year   = {2016}
}

Comments

14 pages, 4 figures