An explicit bitorsor structure is constructed on the double shuffle torsor, with right-acting Betti group DMR_B(k) whose discrete analogue is {±1} and whose pro-p version fits a Cartesian diagram with GT_p.
Drinfeld, On quasitriangular quasi-Hopf algebras and a group closely connected with Gal ( Q / Q ) , Leningrad Math
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The Betti side of the double shuffle theory. III. Bitorsor structures
An explicit bitorsor structure is constructed on the double shuffle torsor, with right-acting Betti group DMR_B(k) whose discrete analogue is {±1} and whose pro-p version fits a Cartesian diagram with GT_p.