Homology of some Artin and twisted Artin Groups

Publisher: Cambridge University Press

E-ISSN: 1865-5394|6|1|171-196

ISSN: 1865-2433

Source: Journal of K-Theory, Vol.6, Iss.1, 2010-08, pp. : 171-196

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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.