Limits of Baumslag-Solitar groups - Université Clermont Auvergne Accéder directement au contenu
Article Dans Une Revue Groups, Geometry, and Dynamics Année : 2008

Limits of Baumslag-Solitar groups

Résumé

We give a parametrization by m-adic integers of the limits of Baumslag–Solitar groups (marked with a canonical set of generators). It is shown to be continuous and injective on the invertible m-adic integers. We show that all such limits are extensions of a free group by a lamplighter group and all but possibly one are not finitely presented. Finally, we give presentations related to natural actions on trees.
Fichier principal
Vignette du fichier
GGD-2008-002-003-03.pdf (294.22 Ko) Télécharger le fichier
Origine : Accord explicite pour ce dépôt

Dates et versions

hal-00472501 , version 1 (01-12-2020)

Licence

Copyright (Tous droits réservés)

Identifiants

Citer

Luc Guyot, Yves Stalder. Limits of Baumslag-Solitar groups. Groups, Geometry, and Dynamics, 2008, 2 (3), pp.353-381. ⟨10.4171/GGD/44⟩. ⟨hal-00472501⟩
46 Consultations
90 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More