A Note on the Hurwitz Action on Reflection Factorizations of Coxeter Elements in Complex Reflection Groups

  • Joel Brewster Lewis
DOI: https://doi.org/10.37236/9351

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 $G(d,d,n)$.

Published
2020-06-26
How to Cite
Lewis, J. B. (2020). A Note on the Hurwitz Action on Reflection Factorizations of Coxeter Elements in Complex Reflection Groups. The Electronic Journal of Combinatorics, 27(2), P2.54. https://doi.org/10.37236/9351
Issue
Volume 27, Issue 2 (2020)
Article Number
P2.54