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.
Cite this article
Graham Ellis, Emil Sköldberg, The <var>K</var>(<var>π</var>,1) conjecture for a class of Artin groups. Comment. Math. Helv. 85 (2010), no. 2, pp. 409–415DOI 10.4171/CMH/200