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Artículo
Homological models for semidirect products of finitely generated Abelian groups
dc.creator | Álvarez Solano, Víctor | |
dc.creator | Frau García, María Dolores | |
dc.creator | Real Jurado, Pedro | |
dc.creator | Armario Sampalo, José Andrés | |
dc.date.accessioned | 2016-01-20T11:32:24Z | |
dc.date.available | 2016-01-20T11:32:24Z | |
dc.date.issued | 2012 | |
dc.identifier.uri | http://hdl.handle.net/11441/32916 | |
dc.description.abstract | Let G be a semidirect product of finitely generated Abelian groups. We provide a method for constructing an explicit contraction (special homotopy equivalence) from the reduced bar construction of the group ring of G, B¯¯¯¯(ZZ[G]) , to a much smaller DGA-module hG. Such a contraction is called a homological model for G and is used as the input datum in the methods described in Álvarez et al. (J Symb Comput 44:558–570, 2009; 2012) for calculating a generating set for representative 2-cocycles and n-cocycles over G, respectively. These computations have led to the finding of new cocyclic Hadamard matrices (Álvarez et al. in 2006). | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.relation.ispartof | Applicable Algebra in Engineering, Communication and Computing, 23 (1), 101-127. | es |
dc.rights | Atribución-NoComercial-CompartirIgual 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-sa/4.0/ | * |
dc.subject | Semidirect product of groups | es |
dc.subject | Homological model | es |
dc.subject | Contraction | es |
dc.subject | Homological perturbation theory | es |
dc.title | Homological models for semidirect products of finitely generated Abelian groups | es |
dc.type | info:eu-repo/semantics/article | es |
dcterms.identifier | https://ror.org/03yxnpp24 | |
dc.type.version | info:eu-repo/semantics/submittedVersion | es |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de Matemática Aplicada I (ETSII) | es |
dc.identifier.doi | http://dx.doi.org/10.1007/s00200-012-0163-y | es |
dc.journaltitle | Applicable Algebra in Engineering, Communication and Computing | es |
dc.publication.volumen | 23 | es |
dc.publication.issue | 1 | es |
dc.publication.initialPage | 101 | es |
dc.publication.endPage | 127 | es |
dc.identifier.idus | https://idus.us.es/xmlui/handle/11441/32916 |
Ficheros | Tamaño | Formato | Ver | Descripción |
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Homological models.pdf | 310.8Kb | [PDF] | Ver/ | |