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math.GR2017
On the Hurwitz action in affine Coxeter groups
Patrick Wegener
We show that for a parabolic quasi-Coxeter element in an affine Coxeter group the Hurwitz action on its set of reduced factorizations into a product of reflections is transitive. W…
math.GR2017
A note on Weyl groups and crystallographic root lattices
Barbara Baumeister, Patrick Wegener
We follow the dual approach to Coxeter systems and show for Weyl groups a criterium which decides whether a set of reflections is generating the group depending on the root and the…