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  The low-dimensional homology of finite-rank Coxeter groups

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.

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Item Permalink: https://hdl.handle.net/21.11116/0000-0007-A270-3 Version Permalink: https://hdl.handle.net/21.11116/0000-0007-A271-2
Genre: Journal Article

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 Creators:
Boyd, Rachael1, Author           
Affiliations:
1Max Planck Institute for Mathematics, Max Planck Society, ou_3029201              

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Free keywords: Mathematics, Algebraic Topology, Group Theory
 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.

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Language(s): eng - English
 Dates: 2020
 Publication Status: Issued
 Pages: 48
 Publishing info: -
 Table of Contents: -
 Rev. Type: Peer
 Identifiers: arXiv: 1811.00400
DOI: 10.2140/agt.2020.20.2609
 Degree: -

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Title: Algebraic & Geometric Topology
  Alternative Title : Algebr. Geom. Topol.
Source Genre: Journal
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Publ. Info: Mathematical Sciences Publishers
Pages: - Volume / Issue: 20 Sequence Number: - Start / End Page: 2609 - 2655 Identifier: -