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Let G ⊂ GL(r) be an irreducible finite complex reflection group. We show that (apart from the exception G = S6) any automor-phism of G is the product of an automorphism induced by tensoring by a linear character, of an automorphism induced by an element of N GL(r) (G) and of what we call a " Galois " automorphism: we show that Gal(K/É), where K is the field(More)
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