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Homology of some Artin and twisted Artin Groups

Published online by Cambridge University Press:  21 September 2009

Maura Clancy  and
Graham Ellis
Maura Clancy
Affiliation:
Mathematics Department, National University of Ireland, Galway, mclancy@nuigalway.ie.
Graham Ellis
Affiliation:
Mathematics Department, National University of Ireland, Galway, graham.ellis@nuigalway.ie.
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Abstract

We begin the paper with a simple formula for the second integral homology of a range of Artin groups. The formula is derived from a polytopal classifying space. We then introduce the notion of a twisted Artin group and obtain polytopal classifying spaces for a range of such groups. We demonstrate that these explicitly constructed spaces can be implemented on a computer and used in homological calculations.

Keywords

Artin groupClassifying spaceGroup cohomology
Type
Research Article
Information
Journal of K-Theory , Volume 6 , Issue 1 , August 2010 , pp. 171 - 196
Copyright
Copyright © ISOPP 2009

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