JournalscmhVol. 85, No. 2pp. 409–415

The <var>K</var>(<var>π</var>,1) conjecture for a class of Artin groups

  • Graham Ellis

    National University of Ireland, Galway, Ireland
  • Emil Sköldberg

    National University of Ireland, Galway, Ireland
The <var>K</var>(<var>π</var>,1) conjecture for a class of Artin groups cover
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Abstract

Salvetti constructed a cellular space BD for any Artin group AD defined by a Coxeter graph D. We show that BD is an Eilenberg–Mac Lane space if BD' is an Eilenberg–Mac Lane space for every subgraph D' of D involving no ∞-edges.

Cite this article

Graham Ellis, Emil Sköldberg, The <var>K</var>(<var>π</var>,1) conjecture for a class of Artin groups. Comment. Math. Helv. 85 (2010), no. 2, pp. 409–415

DOI 10.4171/CMH/200