English

Groups of type $FP$ via graphical small cancellation

Group Theory 2024-02-08 v6

Abstract

We construct an uncountable family of groups of type FPFP. In contrast to every previous construction of non-finitely presented groups of type FPFP we do not use Morse theory on cubical complexes; instead we use Gromov's graphical small cancellation theory.

Cite

@article{arxiv.2004.04550,
  title  = {Groups of type $FP$ via graphical small cancellation},
  author = {Thomas Brown and Ian J Leary},
  journal= {arXiv preprint arXiv:2004.04550},
  year   = {2024}
}

Comments

5 figures. Sixth version: further clarification of some points concerning projective linear groups. Earlier versions: see earlier comments

R2 v1 2026-06-23T14:45:36.426Z