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)

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.

• Item Type: Articles
• Status: Published
• Refereed: Yes
• 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: 1472-2747
• 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