A note on the Hurwitz action on reflection factorizations of Coxeter elements in complex reflection groups

Abstract

We show that the Hurwitz action is "as transitive as possible" on reflection factorizations of Coxeter elements in the well-generated complex reflection groups $G(d,1,n)$ (the group of $d$-colored permutations) and $G(d,d,n)$.

11 pages