| Título: | A class of residually finite groups isomorphic to fundamental groups of VH complexes |
| Autores: | Polák, Jason |
| Fecha: | 2011 |
| Publicador: | McGill University |
| Fuente: |
Ver documento |
| Tipo: | Electronic Thesis or Dissertation |
| Tema: | Pure Sciences - Mathematics |
| Descripción: |
In a preprint, Ian Leary inquires whether two hyperbolic finitely presented groups are residually finite. We answer in the affirmative by showing that these groups belong to a class of groups, which we call the polygonal VH or PVH groups. To prove that a group is PVH we introduce a systematic tiling method for the standard 2-complex of the group, and deduce from the work of Daniel Wise that hyperbolic PVH groups are residually finite. Dans un prépublication, Ian Leary se demande si deux groupes finitement hyperboliques et de présentation finie sont résiduellement finis. Nous donnons une réponse positive en montrant que ces groupes appartiennent à une classe de groupes que nous appelons les groupes VH ou groupes PVH. Pour démontrer qu'un groupe est PVH, nous introduisons une méthode systématique pour couvrir d'un pavage le 2-complexe standard du groupe, et déduisons des travaux de Daniel Wise les groupes PVH hyperboliques sont résiduellement finis. |
| Idioma: | en |
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