dc.contributor |
Centre de Recerca Matemàtica |
dc.contributor.author |
Barnard, Josh |
dc.contributor.author |
Brady, Noel |
dc.date.accessioned |
2006-01-10T08:41:23Z |
dc.date.available |
2006-01-10T08:41:23Z |
dc.date.issued |
2005-10 |
dc.identifier.uri |
http://hdl.handle.net/2072/1397 |
dc.format.extent |
349488 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;657 |
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 |
Distortion of surface groups in Cat (0) free-by-cyclic groups |
dc.type |
info:eu-repo/semantics/preprint |
dc.description.abstract |
Given a non-positively curved 2-complex with a circle-valued Morse function satisfying some extra combinatorial conditions, we describe how to locally isometrically embed this in a larger non-
positively curved 2-complex with free-by-cyclic fundamental group.
This embedding procedure is used to produce examples of CAT(0) free-by-cyclic groups that contain closed hyperbolic surface subgroups
with polynomial distortion of arbitrary degree. We also produce examples of CAT(0) hyperbolic free-by-cyclic groups that contain closed hyperbolic surface subgroups that are exponentially distorted. |