Groups that do not act by automorphisms of codimension-one foliations
| dc.creator | Feres, Renato | |
| dc.creator | Witte, Dave | |
| dc.date | 2000-08-01 | |
| dc.date.accessioned | 2026-07-07T04:36:37Z | |
| dc.date.available | 2026-07-07T04:36:37Z | |
| dc.description | Let G be a finitely generated group having the property that any action of any finite-index subgroup of G by homeomorphisms of the circle must have a finite orbit. (By a theorem of E.Ghys, lattices in simple Lie groups of real rank at least two have this property.) Suppose that such a G acts on a compact manifold M by automorphisms of a codimension-one C2 foliation, F. We show that if F has a compact leaf, then some finite-index subgroup of G fixes a compact leaf of F. Furthermore, we give sufficient conditions for some finite-index subgroup of G to fix each leaf of F. | |
| dc.description | Latex2e file, 15 pages, no figures | |
| dc.identifier | https://arxiv.org/abs/math/0008012 | |
| dc.identifier | http://arxiv.org/abs/math/0008012 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/59664 | |
| dc.subject | Geometric Topology | |
| dc.subject | Group Theory | |
| dc.subject | 57R30 (Primary); 22F50 (Secondary) | |
| dc.title | Groups that do not act by automorphisms of codimension-one foliations | |
| dc.type | text |