The low-dimensional homology of finite-rank Coxeter groups

Boyd, R. (2020) The low-dimensional homology of finite-rank Coxeter groups. Algebraic and Geometric Topology, 20(5), pp. 2609-2655. (doi: 10.2140/agt.2020.20.2609)

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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.

Item Type:Articles
Glasgow Author(s) Enlighten ID:Boyd, Dr Rachael
Authors: Boyd, R.
College/School:College of Science and Engineering > School of Mathematics and Statistics > Mathematics
Journal Name:Algebraic and Geometric Topology
Publisher:Mathematical Sciences Publishers
ISSN (Online):1472-2739
Copyright Holders:Copyright © Mathematical Sciences Publishers 2020
First Published:First published in Algebraic and Geometric Topology 20(5):2609-2655
Publisher Policy:Reproduced in accordance with the publisher copyright policy

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