Abstract

Combining recent results by A. D. Mačinic et al. [Doc. Math. (Bielefeld) 22, 135–150 (2017; Zbl 1358.14020)] with a spectral sequence and computer aided computations, we determine the monodromy action on H^1(F,\Bbb C) , where F denotes the Milnor fiber of the hyperplane arrangement associated to the exceptional irreducible complex reflection group G_{31} . This completes the description given by the first author of such monodromy operators for all the other irreducible complex reflection groups.

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