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A recursive presentation for Mihailova's subgroup

Autor
Bogopolski, O.; Ventura, E.
Tipus d'activitat
Article en revista
Revista
Groups geometry and dynamics
Data de publicació
2010
Volum
4
Número
3
Pàgina inicial
407
Pàgina final
417
DOI
https://doi.org/10.4171/GGD/88 Obrir en finestra nova
Repositori
http://hdl.handle.net/2072/20324 Obrir en finestra nova
http://hdl.handle.net/2117/13740 Obrir en finestra nova
Resum
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)
Citació
Bogopolski, O.; Ventura, E. A recursive presentation for Mihailova's subgroup. "Groups geometry and dynamics", 2010, vol. 4, núm. 3, p. 407-417.
Grup de recerca
GAPCOMB - Geometric, Algebraic and Probabilistic Combinatorics

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