On the generalized Nielsen realization problem
| dc.creator | Block, Jonathan | |
| dc.creator | Weinberger, Shmuel | |
| dc.date | 2005-08-08 | |
| dc.date.accessioned | 2026-07-07T05:22:15Z | |
| dc.date.available | 2026-07-07T05:22:15Z | |
| dc.description | The main goal of this paper is to give the first examples of equivariant aspherical Poincare complexes, that are not realized by group actions on closed aspherical manifolds $M$. These will also provide new counterexamples to the Nielsen realization problem about lifting homotopy actions of finite groups to honest group actions. Our examples show that one cannot guarantee that a given action of a finitely generated group $π$ on Euclidean space extends to an action of $Π$, a group containing $π$ as a subgroup of finite index, even when all the torsion of $Π$ lives in $π$. | |
| dc.identifier | https://arxiv.org/abs/math/0508135 | |
| dc.identifier | http://arxiv.org/abs/math/0508135 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/75989 | |
| dc.subject | Geometric Topology | |
| dc.subject | 57N | |
| dc.title | On the generalized Nielsen realization problem | |
| dc.type | text |