Limits of Baumslag-Solitar groups
Group Theory
2010-02-10 v7
Abstract
We give a parametrization by -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 -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.
Keywords
Cite
@article{arxiv.math/0507236,
title = {Limits of Baumslag-Solitar groups},
author = {Luc Guyot and Yves Stalder},
journal= {arXiv preprint arXiv:math/0507236},
year = {2010}
}
Comments
24 pages; essentially equivalent to the version submitted to the editors after acceptance for publication; numerotation of statements is now coherent with the published version