Geodesic
A note on the Hurwitz action on reflection factorizations of Coxeter elements in complex reflection groups
Joel Brewster Lewis1
1George Washington University
The electronic journal of combinatorics, Tome 27 (2020) no. 2
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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 $G(d,d,n)$.
DOI : 10.37236/9351
Classification : 20F55, 20F36, 05E16, 05E18

Joel Brewster Lewis  1

1 George Washington University 
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     author = {Joel Brewster Lewis},
     title = {A note on the {Hurwitz} action on reflection factorizations of {Coxeter} elements in complex reflection groups},
     journal = {The electronic journal of combinatorics},
     year = {2020},
     volume = {27},
     number = {2},
     doi = {10.37236/9351},
     zbl = {1516.20083},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/9351/}
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Joel Brewster Lewis. A note on the Hurwitz action on reflection factorizations of Coxeter elements in complex reflection groups. The electronic journal of combinatorics, Tome 27 (2020) no. 2. doi: 10.37236/9351

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