A recursive presentation for Mihailova's subgroup

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Title:	A recursive presentation for Mihailova's subgroup
Author:	Bogopolski, Oleg; Ventura Capell, Enric
Other authors:	Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada III; Universitat Politècnica de Catalunya. MD - Matemàtica Discreta
Abstract:	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)
Subject(s):	-Àrees temàtiques de la UPC::Matemàtiques i estadística::Àlgebra::Teoria de grups -Group theory -Grups, Teoria de -Classificació AMS::20 Group theory and generalizations::20F Special aspects of infinite or finite groups
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Document type:	Article - Published version Article
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