Homology of some artin and twisted artin groups
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Clancy, Maura; Ellis, Graham (2009). Homology of some artin and twisted artin groups. Journal of K-theory: K-theory and its Applications to Algebra, Geometry, and Topology 6 (1), 171-196
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.