The conjecture for a class of Artin groups
Graham Ellis
National University of Ireland, Galway, IrelandEmil Sköldberg
National University of Ireland, Galway, Ireland
![The $K(π,1)$ conjecture for a class of Artin groups cover](/_next/image?url=https%3A%2F%2Fcontent.ems.press%2Fassets%2Fpublic%2Fimages%2Fserials%2Fcover-cmh.png&w=3840&q=90)
Abstract
Salvetti constructed a cellular space for any Artin group defined by a Coxeter graph . We show that is an Eilenberg–Mac Lane space if is an Eilenberg–Mac Lane space for every subgraph of involving no -edges.
Cite this article
Graham Ellis, Emil Sköldberg, The conjecture for a class of Artin groups. Comment. Math. Helv. 85 (2010), no. 2, pp. 409–415
DOI 10.4171/CMH/200