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math.GT2025
The R-property for braid groups over orientable surfaces
Karel Dekimpe, Daciberg Lima Gonçalves, Oscar Ocampo
Let be an orientable surface of genus and of finite type without boundary (i.e. an orientable closed surface with a finite number of points removed). In this pape…
math.GT2018
Almost-crystallographic groups as quotients of Artin braid groups
Daciberg Lima Gonçalves, John Guaschi, Oscar Ocampo
Let . In this paper, we analyse the quotient group of the Artin braid group by the subgroup belonging to the lower central series…
math.GT2018
Embeddings of finite groups in for
Daciberg Lima Gonçalves, John Guaschi, Oscar Ocampo
Let . In this paper, we study the problem of whether a given finite group embeds in a quotient of the form , where is the -string Artin braid g…