The low-dimensional homology of finite-rank Coxeter groups

Boyd, Rachael

doi:10.2140/agt.2020.20.2609

Item

ITEM ACTIONSEXPORT

Add to Basket

Please note that a newer version of this item is available:
https://pure.mpg.de/pubman/item/item_3275932_5

DetailsSummary

Released

Journal Article

The low-dimensional homology of finite-rank Coxeter groups

MPS-Authors

/persons/resource/persons251060

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

External Resource

http://dx.doi.org/10.2140/agt.2020.20.2609
(Publisher version)

Fulltext (restricted access)

There are currently no full texts shared for your IP range.

Fulltext (public)

arXiv:1811.00400.pdf
(Preprint), 400KB

Boyd_The low-dimensional homology of finite-rank Coxeter groups_2020.pdf
(Publisher version), 580KB

Supplementary Material (public)

There is no public supplementary material available

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: https://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.