dc.contributor |
Centre de Recerca Matemàtica |
dc.contributor.author |
Cleary, Sean |
dc.contributor.author |
Taback, Jennifer |
dc.date.accessioned |
2008-11-04T15:02:20Z |
dc.date.available |
2008-11-04T15:02:20Z |
dc.date.created |
2008-04 |
dc.date.issued |
2008-04 |
dc.identifier.uri |
http://hdl.handle.net/2072/12405 |
dc.format.extent |
14 |
dc.format.extent |
181556 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;803 |
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.other |
Automorfismes |
dc.subject.other |
Grups, Teoria de |
dc.title |
Tree automorphisms and quasi-isometries of Thompson's group F |
dc.type |
info:eu-repo/semantics/preprint |
dc.subject.udc |
512 - Àlgebra |
dc.description.abstract |
We prove that automorphisms of the infinite binary rooted tree T2 do not yield quasi-isometries of Thompson's group F, except for the map which reverses orientation on the unit interval, a natural outer automorphism of F. This map, together with the identity map, forms a subgroup of Aut(T2) consisting of 2-adic automorphisms, following standard terminology used in the study of branch groups. However, for more general p, we show that the analgous groups of p-adic tree automorphisms do not give rise to quasiisometries of F(p). |