Limit groups and groups acting freely on $\bbR^n$-trees
| dc.creator | Guirardel, Vincent | |
| dc.date | 2003-07-21 | |
| dc.date.accessioned | 2026-07-07T03:20:06Z | |
| dc.date.available | 2026-07-07T03:20:06Z | |
| dc.description | We give a simple proof of the finite presentation of Sela's limit groups by using free actions on $\bbR^n$-trees. We first prove that Sela's limit groups do have a free action on an $\bbR^n$-tree. We then prove that a finitely generated group having a free action on an $\bbR^n$-tree can be obtained from free abelian groups and surface groups by a finite sequence of free products and amalgamations over cyclic groups. As a corollary, such a group is finitely presented, has a finite classifying space, its abelian subgroups are finitely generated and contains only finitely many conjugacy classes of non-cyclic maximal abelian subgroups. | |
| dc.identifier | https://arxiv.org/abs/cs/0307049 | |
| dc.identifier | http://arxiv.org/abs/cs/0307049 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/31711 | |
| dc.subject | Digital Libraries | |
| dc.subject | F.2.2 | |
| dc.title | Limit groups and groups acting freely on $\bbR^n$-trees | |
| dc.type | text |