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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.GR2019
The centralizer of a Coxeter element
Ruwen Hollenbach, Patrick Wegener
We prove that the centralizer of a Coxeter element in an irreducible Coxeter group is the cyclic group generated by that Coxeter element.