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The conjugacy problem in automaton groups is not solvable
| dc.contributor.author | Šunic, Z. |
| dc.contributor.author | Ventura Capell, Enric |
| dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada III |
| dc.date.accessioned | 2012-09-17T11:28:19Z |
| dc.date.created | 2012-08-15 |
| dc.date.issued | 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.issn | 0021-8693 |
| dc.identifier.uri | http://hdl.handle.net/2117/16507 |
| 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.format.extent | 7 p. |
| dc.language.iso | eng |
| 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.lcsh | Associative algebras |
| dc.subject.lcsh | Group theory |
| dc.subject.other | Free abelian-by-free groups |
| dc.subject.other | Automaton groups |
| dc.subject.other | Conjugacy problem |
| dc.subject.other | Orbit decidability |
| dc.title | The conjugacy problem in automaton groups is not solvable |
| dc.type | Article |
| dc.subject.lemac | Àlgebres associatives |
| dc.subject.lemac | Grups, Teoria de |
| dc.contributor.group | Universitat Politècnica de Catalunya. MD - Matemàtica Discreta |
| dc.identifier.doi | 10.1016/j.jalgebra.2012.04.014 |
| dc.description.peerreviewed | Peer Reviewed |
| dc.rights.access | Open Access |
| local.identifier.drac | 10614800 |
| dc.description.version | Postprint (published version) |
| dc.date.lift | 10000-01-01 |
| local.citation.author | Šunic, Z.; Ventura, E. |
| local.citation.publicationName | Journal of algebra |
| local.citation.volume | 364 |
| local.citation.startingPage | 148 |
| local.citation.endingPage | 154 |
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