dc.creator | Álvarez Solano, Víctor | es |
dc.creator | Armario Sampalo, José Andrés | es |
dc.creator | Frau García, María Dolores | es |
dc.creator | Gudiel Rodríguez, Félix | es |
dc.date.accessioned | 2019-06-13T08:31:13Z | |
dc.date.available | 2019-06-13T08:31:13Z | |
dc.date.issued | 2015 | |
dc.identifier.citation | Álvarez Solano, V., Armario Sampalo, J.A., Frau García, M.D. y Gudiel Rodríguez, F. (2015). Determinants of (–1,1)-matrices of the skew-symmetric type: a cocyclic approach. Open Mathematics: Formerly Central European Journal of Mathematics, 13 (1) | |
dc.identifier.issn | 2391-5455 | es |
dc.identifier.uri | https://hdl.handle.net/11441/87401 | |
dc.description.abstract | An n by n skew-symmetric type (−1, 1)-matrix K = [ki,j ] has 1’s on the main
diagonal and ±1’s elsewhere with ki,j = −kj,i. The largest possible determinant of such
a matrix K is an interesting problem. The literature is extensive for n 0 mod 4 (skew-
Hadamard matrices), but for n 2 mod 4 there are few results known for this question.
In this paper we approach this problem constructing cocyclic matrices over the dihedral
group of 2t elements, for t odd, which are equivalent to (−1, 1)-matrices of skew type.
Some explicit calculations have been done up to t = 11. To our knowledge, the upper
bounds on the maximal determinant in orders 18 and 22 have been improved. | es |
dc.description.sponsorship | Junta de Andalucía FQM-016 | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | Walter de Gruyter GmbH | es |
dc.relation.ispartof | Open Mathematics: Formerly Central European Journal of Mathematics, 13 (1) | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Maximal determinants | es |
dc.subject | (-1,1)-matrix of skew type | es |
dc.subject | Cocyclic matrices | es |
dc.title | Determinants of (–1,1)-matrices of the skew-symmetric type: a cocyclic approach | es |
dc.type | info:eu-repo/semantics/article | es |
dcterms.identifier | https://ror.org/03yxnpp24 | |
dc.type.version | info:eu-repo/semantics/publishedVersion | es |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de Matemática Aplicada I (ETSII) | es |
dc.relation.projectID | FQM-016 | es |
dc.relation.publisherversion | https://www.degruyter.com/view/j/math.2015.13.issue-1/math-2015-0003/math-2015-0003.xml | es |
dc.identifier.doi | 10.1515/math-2015-0003 | es |
idus.format.extent | 10 | es |
dc.journaltitle | Open Mathematics: Formerly Central European Journal of Mathematics | es |
dc.publication.volumen | 13 | es |
dc.publication.issue | 1 | es |