The conjugacy problem in automaton groups is not solvable

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To access the full text documents, please follow this link: http://hdl.handle.net/2117/16507

dc.contributor	Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada III
dc.contributor	Universitat Politècnica de Catalunya. MD - Matemàtica Discreta
dc.contributor.author	Šunic, Z.
dc.contributor.author	Ventura Capell, Enric
dc.date	2012-08-15
dc.identifier.citation	Šunic, Z.; Ventura, E. The conjugacy problem in automaton groups is not solvable. "Journal of algebra", 15 Agost 2012, vol. 364, p. 148-154.
dc.identifier.citation	0021-8693
dc.identifier.citation	10.1016/j.jalgebra.2012.04.014
dc.identifier.uri	http://hdl.handle.net/2117/16507
dc.language.iso	eng
dc.rights	info:eu-repo/semantics/openAccess
dc.subject	Àrees temàtiques de la UPC::Matemàtiques i estadística::Àlgebra::Teoria de grups
dc.subject	Àrees temàtiques de la UPC::Matemàtiques i estadística::Àlgebra
dc.subject	Associative algebras
dc.subject	Group theory
dc.subject	Free abelian-by-free groups
dc.subject	Automaton groups
dc.subject	Conjugacy problem
dc.subject	Orbit decidability
dc.subject	Àlgebres associatives
dc.subject	Grups, Teoria de
dc.title	The conjugacy problem in automaton groups is not solvable
dc.type	info:eu-repo/semantics/publishedVersion
dc.type	info:eu-repo/semantics/article
dc.description.abstract	(Free abelian)-by-free, self-similar groups generated by finite self-similar sets of tree automorphisms and having unsolvable conjugacy problem are constructed. Along the way, finitely generated, orbit undecidable, free subgroups of GLd(Z), for d⩾6, and Aut(Fd), for d⩾5, are constructed as well.
dc.description.abstract	Peer Reviewed

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