Homology of some artin and twisted artin groups

dc.contributor.author	Clancy, Maura
dc.contributor.author	Ellis, Graham
dc.date.accessioned	2018-09-20T16:03:24Z
dc.date.available	2018-09-20T16:03:24Z
dc.date.issued	2009-09-21
dc.identifier.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
dc.identifier.issn	1865-2433,1865-5394
dc.identifier.uri	http://hdl.handle.net/10379/10798
dc.description.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.
dc.publisher	Cambridge University Press (CUP)
dc.relation.ispartof	Journal of K-theory: K-theory and its Applications to Algebra, Geometry, and Topology
dc.rights	Attribution-NonCommercial-NoDerivs 3.0 Ireland
dc.rights.uri	https://creativecommons.org/licenses/by-nc-nd/3.0/ie/
dc.subject	artin group
dc.subject	classifying space
dc.subject	group cohomology
dc.subject	k(pi
dc.title	Homology of some artin and twisted artin groups
dc.type	Article
dc.identifier.doi	10.1017/is008008012jkt090
dc.local.publishedsource	http://hamilton.nuigalway.ie/preprints/ClancyEllis.pdf
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