The conjugacy problem in extensions of Thompson's group F

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To access the full text documents, please follow this link: http://hdl.handle.net/2117/102759

dc.contributor	Universitat Politècnica de Catalunya. Departament de Matemàtiques
dc.contributor	Universitat Politècnica de Catalunya. COMBGRAPH - Combinatòria, Teoria de Grafs i Aplicacions
dc.contributor	Universitat Politècnica de Catalunya. MD - Matemàtica Discreta
dc.contributor.author	Burillo Puig, José
dc.contributor.author	Matucci, Francesco
dc.contributor.author	Ventura Capell, Enric
dc.date	2016-10-01
dc.identifier.citation	Burillo, J., Matucci, Francesco, Ventura, E. The conjugacy problem in extensions of Thompson's group F. "Israel journal of mathematics", 1 Octubre 2016, vol. 216, núm. 1, p. 15-59.
dc.identifier.citation	0021-2172
dc.identifier.citation	10.1007/s11856-016-1403-9
dc.identifier.uri	http://hdl.handle.net/2117/102759
dc.language.iso	eng
dc.relation	http://link.springer.com/article/10.1007%2Fs11856-016-1403-9
dc.rights	info:eu-repo/semantics/openAccess
dc.subject	Àrees temàtiques de la UPC::Matemàtiques i estadística::Geometria::Geometria algebraica
dc.subject	Àrees temàtiques de la UPC::Matemàtiques i estadística::Geometria::Geometria computacional
dc.subject	Geometry, Algebraic
dc.subject	Numerical analysis
dc.subject	Geometria computacional
dc.subject	Geometria algèbrica
dc.subject	Classificació AMS::14 Algebraic geometry::14Q Computational aspects in algebraic geometry
dc.subject	Classificació AMS::65 Numerical analysis::65D Numerical approximation and computational geometry
dc.title	The conjugacy problem in extensions of Thompson's group F
dc.type	info:eu-repo/semantics/submittedVersion
dc.type	info:eu-repo/semantics/article
dc.description.abstract	The final publication is available at Springer via http://dx.doi.org/10.1007/s11856-016-1403-9
dc.description.abstract	We solve the twisted conjugacy problem on Thompson’s group F. We also exhibit orbit undecidable subgroups of Aut(F), and give a proof that Aut(F) and Aut+(F) are orbit decidable provided a certain conjecture on Thompson’s group T is true. By using general criteria introduced by Bogopolski, Martino and Ventura in [5], we construct a family of free extensions of F where the conjugacy problem is unsolvable. As a byproduct of our techniques, we give a new proof of a result of Bleak–Fel’shtyn–Gonçalves in [4] showing that F has property R8, and which can be extended to show that Thompson’s group T also has property R8.
dc.description.abstract	Peer Reviewed

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