• Corpus ID: 244920934

Toric reflection groups

  title={Toric reflection groups},
  author={Thomas Gobet},
  • T. Gobet
  • Published 7 December 2021
  • Mathematics
Several finite complex reflection groups have a braid group which is isomorphic to a torus knot group. The reflection group is obtained from the torus knot group by declaring meridians to have order k for some k ≥ 2, and meridians are mapped to reflections. We study all possible quotients of torus knot groups obtained by requiring meridians to have finite order. Using the theory of J-groups of Achar and Aubert, we show that these groups behave like (in general infinite) complex reflection… 

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