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Title:
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The conjugacy problem in extensions of Thompson's group F
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Author:
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Burillo Puig, José; Matucci, Francesco; Ventura Capell, Enric
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Other authors:
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Universitat Politècnica de Catalunya. Departament de Matemàtiques; Universitat Politècnica de Catalunya. COMBGRAPH - Combinatòria, Teoria de Grafs i Aplicacions; Universitat Politècnica de Catalunya. MD - Matemàtica Discreta |
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Abstract:
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The final publication is available at Springer via http://dx.doi.org/10.1007/s11856-016-1403-9 |
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Abstract:
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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. |
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Abstract:
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Peer Reviewed |
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Subject(s):
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-Àrees temàtiques de la UPC::Matemàtiques i estadística::Geometria::Geometria algebraica
-Àrees temàtiques de la UPC::Matemàtiques i estadística::Geometria::Geometria computacional
-Geometry, Algebraic
-Numerical analysis
-Geometria computacional
-Geometria algèbrica
-Classificació AMS::14 Algebraic geometry::14Q Computational aspects in algebraic geometry
-Classificació AMS::65 Numerical analysis::65D Numerical approximation and computational geometry |
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Rights:
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Document type:
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Article - Submitted version
Article |
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