The \(K(\pi ,1)\) conjecture for a class of Artin groups (Q2269706)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The \(K(\pi ,1)\) conjecture for a class of Artin groups |
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The \(K(\pi ,1)\) conjecture for a class of Artin groups (English)
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17 March 2010
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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.
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Artin group
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Eilenberg-Mac Lane space
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cohomology groups
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Salvetti's complex
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