2022-11-082022-11-082018-09-22Cumplido Cabello, M. (2018). On the minimal positive standardizer of a parabolic subgroup of an Artin–Tits group. Journal of algebraic combinatorics, 49 (3), 337-359. https://doi.org/10.1007/s10801-018-0837-z.0925-98990925-9899https://hdl.handle.net/11441/139110The minimal standardizer of a curve system on a punctured disk is the minimal positive braid that transforms it into a system formed only by round curves. We give an algorithm to compute it in a geometrical way. Then, we generalize this problem algebraically to parabolic subgroups of Artin–Tits groups of spherical type and we show that, to compute the minimal standardizer of a parabolic subgroup, it suffices to compute the pn-normal form of a particular central element.application/pdf22 p.engAttribution-NonCommercial-NoDerivatives 4.0 Internacionalhttp://creativecommons.org/licenses/by-nc-nd/4.0/Braid groupsCurve complexArtin groupsParabolic subgroupsGarside theoryinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/openAccess10.1007/s10801-018-0837-z