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Limits of Baumslag-Solitar groups

Luc Guyot·Yves Stalder
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Abstract

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.

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Luc Guyot, Yves Stalder. 2005-07-12. Limits of Baumslag-Solitar groups. https://doi.org/10.4171/ggd/44

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