Abstract
A corepresentation for the generalized pure braid group ID n of the Coxeter group D n is constructed. The lower central series of ID n is investigated. It is proved that ID n is approximable by torsion-free nilpotent groups, so R. Hain's obstruction to the solvability of the generalized Riemann-Hilbert problem is trivial for ID n.
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Markushevich, D.G. The D n generalized pure braid group. Geom Dedicata 40, 73–96 (1991). https://doi.org/10.1007/BF00181653
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DOI: https://doi.org/10.1007/BF00181653