A note on non-reduced reflection factorizations of Coxeter elements
classification
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math.GR
keywords
coxeterfactorizationsgroupsreflectionsameclassesconjugacyelement
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We extend a result of Lewis and Reiner from finite Coxeter groups to all Coxeter groups by showing that two reflection factorizations of a Coxeter element lie in the same Hurwitz orbit if and only if they share the same multiset of conjugacy classes.
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