English

Polygonal VH Complexes

Group Theory 2013-10-04 v1

Abstract

Ian Leary inquires whether a class of hyperbolic finitely presented groups are residually finite. We answer in the affirmative by giving a systematic version of a construction in his paper, which shows that the standard 2-complexes of these presentations have a VH-structure. This structure induces a splitting of these groups, which together with hyperbolicity, implies that these groups are residually finite.

Keywords

Cite

@article{arxiv.1310.0843,
  title  = {Polygonal VH Complexes},
  author = {Jason K. C. Polák and Daniel T. Wise},
  journal= {arXiv preprint arXiv:1310.0843},
  year   = {2013}
}

Comments

7 pages, 2 figures

R2 v1 2026-06-22T01:39:21.400Z