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The low-dimensional homology of finite-rank Coxeter groups

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Boyd,  Rachael
Max Planck Institute for Mathematics, Max Planck Society;

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Fulltext (public)

arXiv:1811.00400.pdf
(Preprint), 400KB

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Citation

Boyd, R. (2020). The low-dimensional homology of finite-rank Coxeter groups. Algebraic & Geometric Topology, 20, 2609-2655. doi:10.2140/agt.2020.20.2609.


Cite as: http://hdl.handle.net/21.11116/0000-0007-A270-3
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.