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Algorithmic problems for free-abelian times free groups
dc.contributor.author | Delgado Rodríguez, Jordi |
dc.contributor.author | Ventura Capell, Enric |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada III |
dc.date.accessioned | 2013-10-01T12:12:48Z |
dc.date.created | 2013-10-01 |
dc.date.issued | 2013-10-01 |
dc.identifier.citation | Delgado, J.; Ventura, E. Algorithmic problems for free-abelian times free groups. "Journal of algebra", 01 Octubre 2013, vol. 391, p. 256-283. |
dc.identifier.issn | 0021-8693 |
dc.identifier.uri | http://hdl.handle.net/2117/20243 |
dc.description.abstract | We study direct products of free-abelian and free groups with special emphasis on algorithmic problems. After giving natural extensions of standard notions into that family, we find an explicit expression for an arbitrary endomorphism of Zm×Fn. These tools are used to solve several algorithmic problems for Zm×Fn: the membership problem, the isomorphism problem, the finite index problem, the subgroup and coset intersection problems, the fixed point problem, and the Whitehead problem. |
dc.format.extent | 28 p. |
dc.language.iso | eng |
dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística::Àlgebra |
dc.subject.lcsh | Group theory |
dc.subject.lcsh | Free groups |
dc.subject.lcsh | Abelian groups |
dc.subject.lcsh | Automorphisms |
dc.subject.other | Automorphism |
dc.subject.other | Decision problem |
dc.subject.other | Free group |
dc.subject.other | Free-abelian group |
dc.title | Algorithmic problems for free-abelian times free groups |
dc.type | Article |
dc.subject.lemac | Grups, Teoria de |
dc.subject.lemac | Grups abelians |
dc.subject.lemac | Automorfismes |
dc.contributor.group | Universitat Politècnica de Catalunya. MD - Matemàtica Discreta |
dc.identifier.doi | 10.1016/j.jalgebra.2013.04.033 |
dc.description.peerreviewed | Peer Reviewed |
dc.subject.ams | 20E05 |
dc.subject.ams | 20k01 |
dc.relation.publisherversion | http://www.sciencedirect.com/science/article/pii/S0021869313002548 |
dc.rights.access | Open Access |
local.identifier.drac | 12756402 |
dc.description.version | Postprint (author’s final draft) |
dc.date.lift | 10000-01-01 |
local.personalitzacitacio | true |
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