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Geometric embeddings of braid groups do not merge conjugacy classes

Opened Access Geometric embeddings of braid groups do not merge conjugacy classes

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Autor: González-Meneses López, Juan
Departamento: Universidad de Sevilla. Departamento de álgebra
Fecha: 2014-10
Publicado en: Boletín de la Sociedad Matemática Mexicana, 20 (2), 297-305.
Tipo de documento: Artículo
Resumen: 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.
Cita: 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.
Tamaño: 162.5Kb
Formato: PDF

URI: http://hdl.handle.net/11441/42255

DOI: http://dx.doi.org/10.1007/s40590-014-0018-6

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