dc.creator | González-Meneses López, Juan | es |
dc.date.accessioned | 2016-06-15T06:40:22Z | |
dc.date.available | 2016-06-15T06:40:22Z | |
dc.date.issued | 2014-10 | |
dc.identifier.citation | González-Meneses López, J. (2014). Geometric embeddings of braid groups do not merge conjugacy classes. Boletín de la Sociedad Matemática Mexicana, 20 (2), 297-305. | |
dc.identifier.issn | 1405-213X | es |
dc.identifier.issn | 2296-4495 | es |
dc.identifier.uri | http://hdl.handle.net/11441/42255 | |
dc.description.abstract | An embedding of the m-times punctured disc into the n-times punctured
disc, for n > m, yields an embedding of the braid group on m strands Bm into the braid group on n strands Bn, called a geometric embedding. The main example consists of adding n−m trivial strands to the right of each braid on m strands. We show that geometric embeddings do not merge conjugacy classes, meaning that if the images of two elements in Bm by a geometric embedding are conjugate in Bn, the original elements are conjugate in Bm. We also show that the result does not hold, in general, for geometric embeddings of mapping class groups. | es |
dc.description.sponsorship | Ministerio de Ciencia e Innovación | es |
dc.description.sponsorship | Fondo Europeo de Desarrollo Regional | es |
dc.description.sponsorship | Australian Research Councils Discovery | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | Sociedad Matemática Mexicana | es |
dc.relation.ispartof | Boletín de la Sociedad Matemática Mexicana, 20 (2), 297-305. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | braid groups | es |
dc.subject | mapping class groups | es |
dc.subject | conjugacy classes | es |
dc.title | Geometric embeddings of braid groups do not merge conjugacy classes | 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 álgebra | es |
dc.relation.projectID | MTM2010-19355 | es |
dc.relation.projectID | P09-FQM-5112 | es |
dc.relation.projectID | DP1094072 | es |
dc.identifier.doi | http://dx.doi.org/10.1007/s40590-014-0018-6 | es |
idus.format.extent | 10 p. | es |
dc.journaltitle | Boletín de la Sociedad Matemática Mexicana | es |
dc.publication.volumen | 20 | es |
dc.publication.issue | 2 | es |
dc.publication.initialPage | 297 | es |
dc.publication.endPage | 305 | es |
dc.relation.publicationplace | México | es |
dc.identifier.idus | https://idus.us.es/xmlui/handle/11441/42255 | |