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math.GR2021★ 2 cited
Reflection factorizations and quasi-Coxeter elements
Patrick Wegener, Sophiane Yahiatene
We investigate the so-called dual Matsumoto property or Hurwitz action in finite, affine and arbitrary Coxeter groups. In particular, we want to investigate how to reduce reflectio…
math.RT2021
Extended Weyl groups, Hurwitz transitivity and weighted projective lines II: a uniform approach
Barbara Baumeister, Patrick Wegener, Sophiane Yahiatene
We continue the study of extended Weyl groups , which are reflection groups. Further we recall the definition of a hyperbolic cover of an extended Weyl group, and show that the…