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Twisted conjugacy problem for endomorphisms of metabelian groups
dc.contributor.author | Ventura Capell, Enric |
dc.contributor.author | Romankov, Vitali |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada III |
dc.date.accessioned | 2010-10-07T13:53:16Z |
dc.date.available | 2010-10-07T13:53:16Z |
dc.date.created | 2009-03-01 |
dc.date.issued | 2009-03-01 |
dc.identifier.citation | Ventura, E.; Romankov, V. Twisted conjugacy problem for endomorphisms of metabelian groups. "Algebra and Logic", 01 Març 2009, vol. 48, núm. 2, p. 89-98. |
dc.identifier.issn | 0002-5232 |
dc.identifier.uri | http://hdl.handle.net/2117/9546 |
dc.description.abstract | Let M be a finitely generated metabelian group explicitly presented in a variety A2 of all metabelian groups. An algorithm is constructed which, for every endomorphism ϕ ∈ End(M) identical modulo an Abelian normal subgroup N containing the derived subgroup M and for any pair of elements u, v ∈ M, decides if an equation of the form (xϕ)u = vx has a solution in M. Thus, it is shown that the title problem under the assumptions made is algorithmically decidable. Moreover, the twisted conjugacy problem in any polycyclic metabelian group M is decidable for an arbitrary endomorphism ϕ ∈ End(M) |
dc.format.extent | 10 p. |
dc.language.iso | eng |
dc.publisher | Springer |
dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística::Àlgebra::Teoria de grups |
dc.subject.lcsh | Endomorphisms (Group theory) |
dc.subject.lcsh | Abelian groups |
dc.title | Twisted conjugacy problem for endomorphisms of metabelian groups |
dc.type | Article |
dc.subject.lemac | Endomorfismes (Teoria dels grups) |
dc.subject.lemac | Grups abelians |
dc.contributor.group | Universitat Politècnica de Catalunya. MD - Matemàtica Discreta |
dc.identifier.doi | 10.1007/s10469-009-9048-y |
dc.relation.publisherversion | http://www.springerlink.com/content/2575152520p261n0/ |
dc.rights.access | Restricted access - publisher's policy |
local.identifier.drac | 2868516 |
dc.description.version | Postprint (published version) |
local.citation.author | Ventura, E.; Romankov, V. |
local.citation.publicationName | Algebra and Logic |
local.citation.volume | 48 |
local.citation.number | 2 |
local.citation.startingPage | 89 |
local.citation.endingPage | 98 |
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