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arXiv · 1310.0843

Polygonal VH Complexes

Jason K. C. Polák·Daniel T. Wise
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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.

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Jason K. C. Polák, Daniel T. Wise. 2013-10-02. Polygonal VH Complexes. https://doi.org/10.5565/publmat_57213_07

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