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Reflection centralizers in Coxeter groups
Published 20 Jun 2011 in math.GR | (1106.3822v2)
Abstract: We refine Brink's theorem, that the non-reflection part of a reflection centralizer in a Coxeter group W is a free group. We give an explicit set of generators for centralizer, which is finitely generated when W is. And we give a method for computing the Coxeter diagram for its reflection subgroup. In many cases, our method allows one to compute centralizers in one's head.
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