English

A hyperbolic group with a finitely presented subgroup that is not of type $FP_3$

Group Theory 2014-10-21 v2

Abstract

Brady proved that there are hyperbolic groups with finitely presented subgroups that are not of type FP3FP_3 (and hence not hyperbolic). We reprove Brady's theorem by presenting a new construction. Our construction uses Bestvina-Brady Morse theory, but does not involve branched coverings.

Keywords

Cite

@article{arxiv.1403.6716,
  title  = {A hyperbolic group with a finitely presented subgroup that is not of type $FP_3$},
  author = {Yash Lodha},
  journal= {arXiv preprint arXiv:1403.6716},
  year   = {2014}
}

Comments

11 pages