A recursive presentation for Mihailova's subgroup
We give an explicit recursive presentation for Mihailova's sub- group M(H) of Fn Fn corresponding to a nite, concise and Pei er aspherical presentation H = hx1; : : : ; xn jR1; : : : ;Rmi. This partially answers a question of R.I. Grigorchuk, [8, Problem 4.14]. As a corollary, we construct a ni...
| Autores: | , |
|---|---|
| Tipo de recurso: | artículo |
| Fecha de publicación: | 2010 |
| País: | España |
| Institución: | Universitat Politècnica de Catalunya (UPC) |
| Repositorio: | UPCommons. Portal del coneixement obert de la UPC |
| Idioma: | inglés |
| OAI Identifier: | oai:upcommons.upc.edu:2117/13740 |
| Acceso en línea: | https://hdl.handle.net/2117/13740 https://dx.doi.org/10.4171/GGD/88 |
| Access Level: | acceso abierto |
| Palabra clave: | Group theory Grups, Teoria de Classificació AMS::20 Group theory and generalizations::20F Special aspects of infinite or finite groups Àrees temàtiques de la UPC::Matemàtiques i estadística::Àlgebra::Teoria de grups |
| Sumario: | We give an explicit recursive presentation for Mihailova's sub- group M(H) of Fn Fn corresponding to a nite, concise and Pei er aspherical presentation H = hx1; : : : ; xn jR1; : : : ;Rmi. This partially answers a question of R.I. Grigorchuk, [8, Problem 4.14]. As a corollary, we construct a nitely generated recursively presented orbit undecidable subgroup of Aut(F3) |
|---|