Acylindrical accessibility for groups acting on $\mathbf R$-trees
| dc.creator | Kapovich, Ilya | |
| dc.creator | Weidmann, Richard | |
| dc.date | 2002-10-19 | |
| dc.date | 2004-08-27 | |
| dc.date.accessioned | 2026-07-07T04:52:09Z | |
| dc.date.available | 2026-07-07T04:52:09Z | |
| dc.description | We prove an acylindrical accessibility theorem for finitely generated groups acting on $\mathbf R$-trees. Namely, we show that if $G$ is a freely indecomposable non-cyclic $k$-generated group acting minimally and $M$-acylindrically on an $\mathbf R$-tree $X$ then for any $ε>0$ there is a finite subtree $Y_ε\subseteq X$ of measure at most $2M(k-1)+ε$ such that $GY_ε=X$. This generalizes theorems of Z.Sela and T.Delzant about actions on simplicial trees. | |
| dc.description | Final revised version, to appear in Math. Z | |
| dc.identifier | https://arxiv.org/abs/math/0210308 | |
| dc.identifier | http://arxiv.org/abs/math/0210308 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/65364 | |
| dc.subject | Group Theory | |
| dc.subject | Geometric Topology | |
| dc.subject | 20F67 | |
| dc.title | Acylindrical accessibility for groups acting on $\mathbf R$-trees | |
| dc.type | text |