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The low-dimensional homology of finite-rank Coxeter groups (1811.00400v2)
Published 1 Nov 2018 in math.AT and math.GR
Abstract: We give formulas for the second and third integral homology of an arbitrary finitely generated Coxeter group, solely in terms of the corresponding Coxeter diagram. The first of these calculations refines a theorem of Howlett, while the second is entirely new and is the first explicit formula for the third homology of an arbitrary Coxeter group.
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