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dc.creatorÁlvarez Solano, Víctores
dc.creatorFalcón Ganfornina, Raúl Manueles
dc.creatorFrau García, María Doloreses
dc.creatorGudiel Rodríguez, Félixes
dc.creatorGüemes Alzaga, María Belénes
dc.date.accessioned2019-10-14T09:32:52Z
dc.date.available2019-10-14T09:32:52Z
dc.date.issued2019
dc.identifier.citationÁlvarez Solano, V., Falcón Ganfornina, R.M., Frau García, M.D., Gudiel Rodríguez, F. y Güemes Alzaga, M.B. (2019). Cocyclic Hadamard matrices over Latin rectangles. European Journal of Combinatorics, 79 (june 2019), 75-96.
dc.identifier.issn0195-6698es
dc.identifier.urihttps://hdl.handle.net/11441/89649
dc.description.abstractIn the literature, the theory of cocyclic Hadamard matrices has always been developed over finite groups. This paper introduces the natural generalization of this theory to be developed over Latin rectangles. In this regard, once we introduce the concept of binary cocycle over a given Latin rectangle, we expose examples of Hadamard matrices that are not cocyclic over finite groups but they are over Latin rectangles. Since it is also shown that not every Hadamard matrix is cocyclic over a Latin rectangle, we focus on answering both problems of existence of Hadamard matrices that are cocyclic over a given Latin rectangle and also its reciprocal, that is, the existence of Latin rectangles over which a given Hadamard matrix is cocyclic. We prove in particular that every Latin square over which a Hadamard matrix is cocyclic must be the multiplication table of a loop (not necessarily associative). Besides, we prove the existence of cocyclic Hadamard matrices over non-associative loops of order 2t+3, for all positive integer t > 0.es
dc.description.sponsorshipJunta de Andalucía FQM-016es
dc.formatapplication/pdfes
dc.language.isoenges
dc.publisherElsevieres
dc.relation.ispartofEuropean Journal of Combinatorics, 79 (june 2019), 75-96.
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 Internacional*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/*
dc.titleCocyclic Hadamard matrices over Latin rectangleses
dc.typeinfo:eu-repo/semantics/articlees
dcterms.identifierhttps://ror.org/03yxnpp24
dc.type.versioninfo:eu-repo/semantics/submittedVersiones
dc.rights.accessRightsinfo:eu-repo/semantics/openAccesses
dc.contributor.affiliationUniversidad de Sevilla. Departamento de Matemática Aplicada I (ETSII)es
dc.relation.projectIDFQM-016es
dc.relation.publisherversionhttps://www.sciencedirect.com/science/article/pii/S0195669818302075es
dc.identifier.doi10.1016/j.ejc.2018.12.007es
idus.format.extent22es
dc.journaltitleEuropean Journal of Combinatoricses
dc.publication.volumen79es
dc.publication.issuejune 2019es
dc.publication.initialPage75es
dc.publication.endPage96es

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