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

Graham Ellis, Emil Sköldberg
2010 Commentarii Mathematici Helvetici  
Salvetti constructed a cellular space B D for any Artin group A D defined by a Coxeter graph D. We show that B D is an Eilenberg-Mac Lane space if B D 0 is an Eilenberg-Mac Lane space for every subgraph D 0 of D involving no 1-edges. (2000) . 55P20, 20F36. Mathematics Subject Classification
doi:10.4171/cmh/200 fatcat:7mxizculfveg5bwsrz6padmnja