dc.contributor
Centre de Recerca Matemàtica
dc.contributor.author
Kassabov, Martin
dc.contributor.author
Matucci, Francesco
dc.date.accessioned
2009-06-02T08:35:19Z
dc.date.accessioned
2024-09-19T13:28:15Z
dc.date.available
2009-06-02T08:35:19Z
dc.date.available
2024-09-19T13:28:15Z
dc.identifier.uri
http://hdl.handle.net/2072/16008
dc.description.abstract
Guba and Sapir asked, in their joint paper [8], if the simultaneous conjugacy problem was solvable in Diagram Groups or, at least, for Thompson's group F. We give an elementary proof for the solution of the latter question. This relies purely on the description of F as the group of piecewise
linear orientation-preserving homeomorphisms of the unit. The techniques we develop allow us also to solve the ordinary conjugacy problem as well, and we can compute roots and centralizers. Moreover, these techniques can be generalized to solve the same questions in larger groups of piecewise-linear homeomorphisms.
cat
dc.format.extent
559893 bytes
dc.format.mimetype
application/pdf
dc.publisher
Centre de Recerca Matemàtica
ca
dc.relation.ispartofseries
Prepublicacions del Centre de Recerca Matemàtica;839
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/)
cat
dc.subject.other
Grups, Teoria de
ca
dc.title
The simultaneous conjugacy problem in groups of piecewise linear functions
ca
dc.type
info:eu-repo/semantics/preprint
ca
