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arXiv · 1708.09310

On the minimal positive standardizer of a parabolic subgroup of an Artin-Tits group

María Cumplido
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Abstract

The minimal standardizer of a curve system on a punctured disk is the minimal 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.

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María Cumplido. 2017-12-21. On the minimal positive standardizer of a parabolic subgroup of an Artin-Tits group. https://arxiv.org/abs/1708.09310

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