Geodesic
The low-dimensional homology of finite-rank Coxeter groups
Boyd, Rachael1
1Max Planck Institute for Mathematics, Bonn, Germany
Algebraic and Geometric Topology, Tome 20 (2020) no. 5, pp. 2609-2655
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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.

DOI : 10.2140/agt.2020.20.2609
Classification : 20F55, 20J05, 20J06, 55T05
Keywords: Coxeter groups, group homology

Boyd, Rachael  1

1 Max Planck Institute for Mathematics, Bonn, Germany 
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Boyd, Rachael. The low-dimensional homology of finite-rank Coxeter groups. Algebraic and Geometric Topology, Tome 20 (2020) no. 5, pp. 2609-2655. doi: 10.2140/agt.2020.20.2609

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