Commentarii Mathematici Helvetici


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Volume 85, Issue 2, 2010, pp. 409–415
DOI: 10.4171/CMH/200

The K(π,1) conjecture for a class of Artin groups

Graham Ellis[1] and Emil Sköldberg[2]

(1) Department of Mathematics, National University of Ireland, University Road, GALWAY, IRELAND
(2) Department of Mathematics, National University of Ireland, University Road, GALWAY, IRELAND

Salvetti constructed a cellular space BD for any Artin group AD defined by a Coxeter graph D. We show that BD is an Eilenberg–Mac Lane space if BD' is an Eilenberg–Mac Lane space for every subgraph D' of D involving no ∞-edges.

Keywords: Artin group, Eilenberg–Mac Lane space, cohomology groups

Ellis Graham, Sköldberg Emil: The K(π,1) conjecture for a class of Artin groups. Comment. Math. Helv. 85 (2010), 409-415. doi: 10.4171/CMH/200