English

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

Combinatorics 2020-06-29 v2 Group Theory

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)G(d, 1, n) (the group of dd-colored permutations) and G(d,d,n)G(d, d, n).

Keywords

Cite

@article{arxiv.2001.08238,
  title  = {A note on the Hurwitz action on reflection factorizations of Coxeter elements in complex reflection groups},
  author = {Joel Brewster Lewis},
  journal= {arXiv preprint arXiv:2001.08238},
  year   = {2020}
}

Comments

11 pages

R2 v1 2026-06-23T13:18:08.024Z