Open Access
2013 Polygonal $\mathcal{VH}$ Complexes
Jason K. C. Polák, Daniel T. Wise
Publ. Mat. 57(2): 421-428 (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 $\mathcal{VH}$-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. "Polygonal $\mathcal{VH}$ Complexes." Publ. Mat. 57 (2) 421 - 428, 2013.


Published: 2013
First available in Project Euclid: 12 December 2013

zbMATH: 1286.20056
MathSciNet: MR3114776

Primary: 20F67

Keywords: hyperbolic group , nonpositively curved cube complex , Residually finite group

Rights: Copyright © 2013 Universitat Autònoma de Barcelona, Departament de Matemàtiques

Vol.57 • No. 2 • 2013
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