Ellis, Graham; Sköldberg, Emil The \(K(\pi ,1)\) conjecture for a class of Artin groups. (English) Zbl 1192.55011 Comment. Math. Helv. 85, No. 2, 409-415 (2010). Salvetti constructed a cellular space \(B_D\) for any Artin group \(A_D\) defined by a Coxeter graph \(D\). In this paper authors show that \(B_D\) is an Eilenberg-MacLane space if \(B_C\) is an Eilenberg-MacLane space for every subgraph \(C\) of \(D\) involving no \(\infty\)-edges. Reviewer: Simona Settepanella (Pisa) Cited in 9 Documents MSC: 55P20 Eilenberg-Mac Lane spaces 20F36 Braid groups; Artin groups Keywords:Artin group; Eilenberg-Mac Lane space; cohomology groups; Salvetti’s complex PDFBibTeX XMLCite \textit{G. Ellis} and \textit{E. Sköldberg}, Comment. Math. Helv. 85, No. 2, 409--415 (2010; Zbl 1192.55011) Full Text: DOI Link