Convergence of Baumslag-Solitar groups
| dc.creator | Stalder, Yves | |
| dc.date | 2004-03-15 | |
| dc.date | 2005-01-27 | |
| dc.date.accessioned | 2026-07-07T05:06:25Z | |
| dc.date.available | 2026-07-07T05:06:25Z | |
| dc.description | We study convergent sequences of Baumslag-Solitar groups in the space of marked groups. We prove that BS(m,n) --> F_2 for |m|,|n| --> \infty and BS(1,n) --> Z \wr Z for |n| --> \infty. For m fixed, |m|>1, we show that the sequence (BS(m,n))_n is not convergent and characterize many convergent subsequences. Moreover if X_m is the set of BS(m,n)'s for n relatively prime to m and |n|>1, then the map BS(m,n) \mapsto n extends continuously on the closure of X_m to a surjection onto invertible m-adic integers. | |
| dc.description | 16 pages, no figure. Notation changes and minor corrections. To appear in Bulletin of the Belgian Mathematical Society -- Simon Stevin | |
| dc.identifier | https://arxiv.org/abs/math/0403241 | |
| dc.identifier | http://arxiv.org/abs/math/0403241 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/70461 | |
| dc.subject | Group Theory | |
| dc.subject | 20E06; 20E18; 20F05 | |
| dc.title | Convergence of Baumslag-Solitar groups | |
| dc.type | text |