Publication

Homology of some artin and twisted artin groups

Clancy, Maura
; 
Ellis, Graham
Identifiers
http://hdl.handle.net/10379/10798
 https://doi.org/10.13025/28830
Publication Date
2009-09-21
Keywords
artin group, classifying space, group cohomology, k(pi
Type
Article
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Citation
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
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.
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Publisher
Cambridge University Press (CUP)
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Attribution-NonCommercial-NoDerivs 3.0 Ireland
cbn
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Externally hosted open access publications with University of Galway authors (2)