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Title: Factorization problems in complex reflection groups
We enumerate factorizations of a Coxeter element into arbitrary factors in the complex reflection groups G(d, 1, n) (the wreath product of the symmetric group with a cyclic group) and its subgroup G(d, d, n), applying combinatorial and algebraic methods, respectively. After a change of basis, the coefficients that appear are the same as those that appear in the corresponding enumeration in the symmetric group.
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Séminaire lotharingien de combinatoire
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National Science Foundation
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