Geodesic
Limits of Baumslag–Solitar groups
Luc Guyot1 ; Yves Stalder2
1Universität Göttingen, Germany
2Université Blaise Pascal, Aubière, France
Groups, geometry, and dynamics, Tome 2 (2008) no. 3, pp. 353-381

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DOI

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.
DOI : 10.4171/ggd/44
Classification : 20-XX, 00-XX
Mots-clés : Baumslag–Solitar groups, space of marked groups, Haagerup property, residual solvability

Luc Guyot  1   ; Yves Stalder  2

1 Universität Göttingen, Germany
2 Université Blaise Pascal, Aubière, France 
Luc Guyot; Yves Stalder. Limits of Baumslag–Solitar groups. Groups, geometry, and dynamics, Tome 2 (2008) no. 3, pp. 353-381. doi: 10.4171/ggd/44
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