Commentarii Mathematici Helvetici
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Published online: 2010-03-01
The K(π,1) conjecture for a class of Artin groupsGraham Ellis and Emil Sköldberg (1) National University of Ireland, Galway, Ireland
(2) National University of Ireland, 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