Gröbner bases and the number of Latin squares related to autotopisms of order ≤7

Falcón Ganfornina, Raúl Manuel; Martín Morales, Jorge

doi:10.1016/j.jsc.2007.07.004

Artículo

dc.creator	Falcón Ganfornina, Raúl Manuel	es
dc.creator	Martín Morales, Jorge	es
dc.date.accessioned	2018-01-18T11:39:26Z
dc.date.available	2018-01-18T11:39:26Z
dc.date.issued	2007
dc.identifier.citation	Falcón Ganfornina, R.M. y Martín Morales, J. (2007). Gröbner bases and the number of Latin squares related to autotopisms of order ≤7. Journal of symbolic computation, 42 (11), 1142-1154.
dc.identifier.issn	0747-7171	es
dc.identifier.uri	https://hdl.handle.net/11441/69162
dc.description	Ejemplar dedicado a: Special issue on Non-commutative Gröbner Bases and Applications	es
dc.description.abstract	Latin squares can be seen as multiplication tables of quasigroups, which are, in general, noncommutativeand non-associative algebraic structures. The number of Latin squares having a fixed isotopismin their autotopism group is at the moment an open problem. In this paper, we use Gröbner bases todescribe an algorithm that allows one to obtain the previous number. Specifically, this algorithm is implemented in SINGULAR to obtain the number of Latin squares related to any autotopism of Latin squares oforder up to 7.	es
dc.format	application/pdf	es
dc.language.iso	eng	es
dc.publisher	Elsevier	es
dc.relation.ispartof	Journal of symbolic computation, 42 (11), 1142-1154.
dc.rights	Attribution-NonCommercial-NoDerivatives 4.0 Internacional	*
dc.rights	Attribution-NonCommercial-NoDerivatives 4.0 Internacional	*
dc.rights	Attribution-NonCommercial-NoDerivatives 4.0 Internacional	*
dc.rights	Attribution-NonCommercial-NoDerivatives 4.0 Internacional	*
dc.rights	Attribution-NonCommercial-NoDerivatives 4.0 Internacional	*
dc.rights.uri	http://creativecommons.org/licenses/by-nc-nd/4.0/	*
dc.subject	Autotopism group	es
dc.subject	Gröbner basis	es
dc.subject	Latin square	es
dc.title	Gröbner bases and the number of Latin squares related to autotopisms of order ≤7	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.relation.publisherversion	http://dx.doi.org/10.1016/j.jsc.2007.07.004	es
dc.identifier.doi	10.1016/j.jsc.2007.07.004	es
idus.format.extent	13 p.	es
dc.journaltitle	Journal of symbolic computation	es
dc.publication.volumen	42	es
dc.publication.issue	11	es
dc.publication.initialPage	1142	es
dc.publication.endPage	1154	es
dc.identifier.sisius	6641011	es

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