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The \(K(\pi ,1)\) conjecture for a class of Artin groups. (English) Zbl 1192.55011

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.

MSC:

55P20 Eilenberg-Mac Lane spaces
20F36 Braid groups; Artin groups
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