# Polygonal $\mathcal{VH}$ Complexes

@inproceedings{Polak2013PolygonalC,
title={Polygonal \$\mathcal\{VH\}\$ Complexes},
author={Jason K.C. Pol'ak and Daniel T. Wise},
year={2013}
}
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.

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