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dc.contributor.authorDelgado Rodríguez, Jordi
dc.contributor.authorVentura Capell, Enric
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Matemàtica Aplicada III
dc.date.accessioned2013-10-01T12:12:48Z
dc.date.created2013-10-01
dc.date.issued2013-10-01
dc.identifier.citationDelgado, J.; Ventura, E. Algorithmic problems for free-abelian times free groups. "Journal of algebra", 01 Octubre 2013, vol. 391, p. 256-283.
dc.identifier.issn0021-8693
dc.identifier.urihttp://hdl.handle.net/2117/20243
dc.description.abstractWe 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.extent28 p.
dc.language.isoeng
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística::Àlgebra
dc.subject.lcshGroup theory
dc.subject.lcshFree groups
dc.subject.lcshAbelian groups
dc.subject.lcshAutomorphisms
dc.subject.otherAutomorphism
dc.subject.otherDecision problem
dc.subject.otherFree group
dc.subject.otherFree-abelian group
dc.titleAlgorithmic problems for free-abelian times free groups
dc.typeArticle
dc.subject.lemacGrups, Teoria de
dc.subject.lemacGrups abelians
dc.subject.lemacAutomorfismes
dc.contributor.groupUniversitat Politècnica de Catalunya. MD - Matemàtica Discreta
dc.identifier.doi10.1016/j.jalgebra.2013.04.033
dc.description.peerreviewedPeer Reviewed
dc.subject.ams20E05
dc.subject.ams20k01
dc.relation.publisherversionhttp://www.sciencedirect.com/science/article/pii/S0021869313002548
dc.rights.accessOpen Access
local.identifier.drac12756402
dc.description.versionPostprint (author’s final draft)
dc.date.lift10000-01-01
local.personalitzacitaciotrue


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