Geodesic
A recursive presentation for Mihailova’s subgroup
Oleg Bogopolski1 ; Enric Ventura2
1Heinrich-Heine-Universität, Düsseldorf, Germany
2Universitat Politècnica de Catalunya, Manresa (Barcelona), Spain
Groups, geometry, and dynamics, Tome 4 (2010) no. 3, pp. 407-417

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DOI

An explicit recursive presentation for Mihailova’s subgroup M(H) of Fn × Fn corresponding to a finite, concise and Peiffer aspherical presentation H = < x1, ... , xn | R1, ... , Rm > is given. This partially answers a question of R. I. Grigorchuk. As a corollary, we construct a finitely generated recursively presented orbit undecidable subgroup of Aut(F3).
DOI : 10.4171/ggd/88
Classification : 20-XX, 00-XX
Mots-clés : Mihailova’s subgroup, recursive presentation, asphericity, orbit undecidability

Oleg Bogopolski  1   ; Enric Ventura  2

1 Heinrich-Heine-Universität, Düsseldorf, Germany
2 Universitat Politècnica de Catalunya, Manresa (Barcelona), Spain 
Oleg Bogopolski; Enric Ventura. A recursive presentation for Mihailova’s subgroup. Groups, geometry, and dynamics, Tome 4 (2010) no. 3, pp. 407-417. doi: 10.4171/ggd/88
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     number = {3},
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