Polygonal VH complexes

Jason K.C. Polák; Daniel T. Wise

doi:10.5565/PUBLMAT-57213-07

Polygonal VH complexes

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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.

Original language	English
Pages (from-to)	421-428
Number of pages	8
Journal	Publicacions Matematiques
Volume	57
Issue number	2
DOIs	https://doi.org/10.5565/PUBLMAT-57213-07
State	Published - 2013
Externally published	Yes

All Science Journal Classification (ASJC) codes

General Mathematics

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title = "Polygonal VH complexes",

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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DO - 10.5565/PUBLMAT-57213-07

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JO - Publicacions Matematiques

JF - Publicacions Matematiques

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Polygonal VH complexes

Abstract

All Science Journal Classification (ASJC) codes

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