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The k(π,1) conjecture for a class of artin groups

Ellis, Graham
; 
Sköldberg, Emil
Repository DOI
Publication Date
2010-01-01
Keywords
artin group, eilenberg-mac lane space, cohomology groups, hyperplane complements, braid-groups
Type
Article
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Citation
Ellis, Graham; Sköldberg, Emil (2010). The k(π,1) conjecture for a class of artin groups. Commentarii Mathematici Helvetici 85 (2), 409-415
Abstract
Salvetti constructed a cellular space B-D for any Artin group A(D) defined by a Coxeter graph D. We show that B-D is an Eilenberg-Mac Lane space if B-D' is an Eilenberg-Mac Lane space for every subgraph D' of D involving no infinity-edges.
Funder
Publisher
European Mathematical Publishing House
Publisher DOI
10.4171/cmh/200
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Attribution-NonCommercial-NoDerivs 3.0 Ireland
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Externally hosted open access publications with University of Galway authors (2)