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@misc {cataland,
AUTHOR = {C. Stump and H. Thomas and N. Williams},
TITLE = {Cataland: Why the Fuss?},
NOTE = {to appear in \emph{Mem.\ AMS}},
EPRINT = {1503.00710},
EPRINTTYPE = {arXiv},
}


@article {BDSW, 
AUTHOR = {B. Baumeister and M. Dyer and C. Stump and and P. Wegener}, 
      TITLE = {A note on the transitive {H}urwitz action on decompositions of parabolic {C}oxeter elements}, 
      JOURNAL = {Proc. Amer. Math. Soc. Ser.}, 
      FJOURNAL = {}, 
      VOLUME = {B}, 
      YEAR = {2014}, 
      NUMBER = {1}, 
      PAGES = {149--154}, 
      URL = {}, 
      MRNUMBER = {3294251}, 
      MRREVIEWER = {}}
      
@article {BGRW, 
AUTHOR = {B. Baumeister and T. Gobet and K. Roberts and and P. Wegener}, 
      TITLE = {On the {H}urwitz action in finite {C}oxeter groups}, 
      JOURNAL = {J. Group Theory}, 
      FJOURNAL = {}, 
      VOLUME = {20}, 
      YEAR = {2017}, 
      NUMBER = {1}, 
      PAGES = {103--131}, 
      URL = {}, 
      MRREVIEWER = {}}
      
@article {BIT, 
AUTHOR = {T. Ben-Itzhak and M. Teicher}, 
      TITLE = {Graph theoretic method for determining {H}urwitz equivalence in the symmetric group}, 
      JOURNAL = {Israel J. Math}, 
      FJOURNAL = {}, 
      VOLUME = {135}, 
      YEAR = {2003}, 
      NUMBER = {}, 
      PAGES = {83--91}, 
      URL = {}, 
      MRREVIEWER = {}}

@article {Berger11, 
AUTHOR = {E. Berger}, 
      TITLE = {Hurwitz equivalence in dihedral groups}, 
      JOURNAL = {Electronic J. Comb.}, 
      FJOURNAL = {}, 
      VOLUME = {18}, 
      YEAR = {2011}, 
      NUMBER = {1}, 
      PAGES = {P45}, 
      URL = {}, 
      MRREVIEWER = {}}


@article {Bessis, 
AUTHOR = {D. Bessis}, 
      TITLE = {Finite complex reflection arrangements are $K(\pi, 1)$}, 
      JOURNAL = {Ann. of Math. (2)}, 
      FJOURNAL = {}, 
      VOLUME = {181}, 
      YEAR = {2015}, 
      NUMBER = {3}, 
      PAGES = {809--904}, 
      URL = {}, 
      MRREVIEWER = {}}
      
@article {Carter, 
AUTHOR = {R. Carter}, 
      TITLE = {Conjugacy classes in the {W}eyl group}, 
      JOURNAL = {Compositio. Math.}, 
      FJOURNAL = {}, 
      VOLUME = {25}, 
      YEAR = {1972}, 
      NUMBER = {}, 
      PAGES = {1--59}, 
      URL = {}, 
      MRREVIEWER = {}}
     
@article {FG, 
AUTHOR = {B. Foster-Greenwood}, 
      TITLE = {Comparing codimension and absolute length in complex reflection groups}, 
      JOURNAL = {Comm. Algebra}, 
      FJOURNAL = {}, 
      VOLUME = {42}, 
      YEAR = {2014}, 
      NUMBER = {10}, 
      PAGES = {4350--4365}, 
      URL = {}, 
      MRREVIEWER = {}}
     
@article {Hurwitz, 
AUTHOR = {A. Hurwitz}, 
      TITLE = {Ueber {R}iemann’sche {F}l\"{a}chen mit gegebenen {V}erzweigungspunkten}, 
      JOURNAL = {Math. Ann.}, 
      VOLUME = {39}, 
      YEAR = {1891}, 
      NUMBER = {}, 
      PAGES = {1--60}, 
      URL = {}, 
      MRREVIEWER = {}}
      
@article {IS10, 
AUTHOR = {K. Igusa and R. Schiffler}, 
      TITLE = {Exceptional sequences and clusters}, 
      JOURNAL = { J. Algebra}, 
      FJOURNAL = {}, 
      VOLUME = {323}, 
      YEAR = {2010}, 
      NUMBER = {8}, 
      PAGES = {2183--2202}, 
      URL = {}, 
      MRREVIEWER = {}}
      
@article {Kluitmann, 
AUTHOR = {P. Kluitmann}, 
      TITLE = {Hurwitz action and finite quotients of {B}raid groups}, 
      JOURNAL = {Contemp. Math.}, 
      FJOURNAL = {}, 
      VOLUME = {78}, 
      YEAR = {1988}, 
      NUMBER = {}, 
      PAGES = {299--325}, 
      URL = {}, 
      MRREVIEWER = {}}
      
@book {LehrerTaylor, 
AUTHOR = {G. Lehrer and D. Taylor}, 
      TITLE = {Unitary reflection groups}, 
      JOURNAL = {Australian Mathematical Society Lecture Series}, 
      FJOURNAL = {}, 
      VOLUME = {20}, 
      PUBLISHER = {Cambridge University Press},
      ADDRESS = {Cambridge},
      YEAR = {2009}}
      
@article {LR, 
AUTHOR = {J. Lewis and V. Reiner}, 
      TITLE = {Circuits and {H}urwitz action in finite root systems}, 
      JOURNAL = {New York J. Math.}, 
      FJOURNAL = {}, 
      VOLUME = {22}, 
      YEAR = {2016}, 
      NUMBER = {}, 
      PAGES = {1457--1486}, 
      URL = {}, 
      MRREVIEWER = {}}
      
@article {JBL, 
AUTHOR = {J. Lewis}, 
      TITLE = {A note on the {H}urwitz action in complex reflection groups}, 
      JOURNAL = {Electronic J. Comb.}, 
      FJOURNAL = {}, 
      VOLUME = {27}, 
      YEAR = {2020}, 
      NUMBER = {}, 
      PAGES = {P2.54}, 
      URL = {}, 
      MRREVIEWER = {}}
      
@article {ST54, 
AUTHOR = {G. Shephard and J. Todd}, 
      TITLE = {Finite unitary reflection groups}, 
      JOURNAL = {Canadian J. Math.}, 
      FJOURNAL = {}, 
      VOLUME = {6}, 
      YEAR = {1954}, 
      NUMBER = {}, 
      PAGES = {274--304}, 
      URL = {}, 
      MRREVIEWER = {}}
      
@article {Shi, 
AUTHOR = {J. Shi}, 
      TITLE = {Formula for the reflection length of elements in the group $G(m, p, n)$}, 
      JOURNAL = {Journal of Algebra}, 
      FJOURNAL = {}, 
      VOLUME = {316}, 
      YEAR = {2007}, 
      NUMBER = {1}, 
      PAGES = {284--296}, 
      URL = {}, 
      MRREVIEWER = {}}
      
@article {WY19, 
AUTHOR = {P. Wegener and S. Yahiatene}, 
      TITLE = {A note on non-reduced reflection factorizations of {C}oxeter elements}, 
      JOURNAL = {Algebraic Combinatorics}, 
      FJOURNAL = {}, 
      VOLUME = {3}, 
      YEAR = {2020}, 
      NUMBER = {2}, 
      PAGES = {465--469}, 
      URL = {}, 
      MRREVIEWER = {}}