Galois actions on complex braid groups

Mathematics – Group Theory

Scientific paper

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proceedings contribution to "Galois-Teichmueller theory and Arithmetic Geometry", Kyoto 2010

Scientific paper

We establish the faithfulness of a geometric action of the absolute Galois
group of the rationals that can be defined on the discriminantal variety
associated to a finite complex reflection group, and review some possible
connections with the profinite Grothendieck-Teichm\"uller group.

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