双重洗牌理论的贝蒂一方。III。双导子结构
The Betti side of the double shuffle theory. III. Bitorsor structures
摘要：
在本系列的前两部分中，我们构造了“扭曲Magnus”torsor的稳定子torsor，研究了它们与结合子和双混洗torsor的关系，并解释了它们的“de Rham”性质。在本文中，我们使相关的双torsor结构明确，并解释相应的右torsor的'贝蒂'性质，我们从而完成一系列的目标。我们研究的离散和亲p版本的'贝蒂'组的双洗牌bitorsor。
英文摘要：
In the two first parts of the series, we constructed stabilizer subtorsors of a `twisted Magnus' torsor, studied their relations with the associator and double shuffle torsors, and explained their `de Rham' nature. In this paper, we make the associated bitorsor structures explicit and explain the `Betti' nature of the corresponding right torsors; we thereby complete one aim of the series. We study the discrete and pro-p versions of the `Betti' group of the double shuffle bitorsor.
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