dc.contributor |
Centre de Recerca Matemàtica |
dc.contributor.author |
Brady, Noel |
dc.contributor.author |
Crisp, John |
dc.date.accessioned |
2006-06-22T10:11:11Z |
dc.date.available |
2006-06-22T10:11:11Z |
dc.date.issued |
2005-02 |
dc.identifier.uri |
http://hdl.handle.net/2072/2152 |
dc.format.extent |
283548 bytes |
dc.format.mimetype |
application/pdf |
dc.language.iso |
eng |
dc.publisher |
Centre de Recerca Matemàtica |
dc.relation.ispartofseries |
Prepublicacions del Centre de Recerca Matemàtica;616 |
dc.rights |
Aquest document està subjecte a una llicència d'ús de Creative Commons, amb la qual es permet copiar, distribuir i comunicar públicament l'obra sempre que se'n citin l'autor original, la universitat i el centre i no se'n faci cap ús comercial ni obra derivada, tal com queda estipulat en la llicència d'ús (http://creativecommons.org/licenses/by-nc-nd/2.5/es/) |
dc.subject |
Grups, Teoria dels |
dc.title |
Cat(0) and Cat (-1) dimensions of torsion free |
dc.type |
info:eu-repo/semantics/preprint |
dc.description.abstract |
We show that a particular free-by-cyclic group has
CAT(0) dimension equal to 2, but CAT(-1) dimension equal to 3.
We also classify the minimal proper 2-dimensional CAT(0) actions of this group; they correspond, up to scaling, to a 1-parameter family of locally CAT(0) piecewise Euclidean metrics on a fixed presentation complex for the group.
This information is used to produce an infinite family of 2-dimensional hyperbolic groups, which do not act properly by isometries on any proper CAT(0) metric space of dimension 2. This family includes a free-by-cyclic group with free kernel of rank 6. |