2019-03-132019-03-132018-11González-Meneses López, J. y Valladares García, D. (2018). On the centralizer of generic braids. Journal of Group Theory, 21 (6), 973-1000.1433-58831435-4446https://hdl.handle.net/11441/84183We study the centralizer of a braid from the point of view of Garside theory, showing that generically a minimal set of generators can be computed very efficiently, as the ultra summit set of a generic braid has a very particular structure. We present an algorithm to compute the centralizer of a braid whose generic-case complexity is quadratic on the length of the input, and which outputs a minimal set of generators in the generic case.application/pdfengAttribution-NonCommercial-NoDerivatives 4.0 Internacionalhttp://creativecommons.org/licenses/by-nc-nd/4.0/Generic braidsinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/openAccess10.1515/jgth-2018-0027