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The k(π,1) conjecture for a class of artin groups

Ellis, Graham
; 
Sköldberg, Emil

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http://hdl.handle.net/10379/11360
 https://doi.org/10.13025/24786

Date

2010-01-01

Keywords

artin group , eilenberg-mac lane space , cohomology groups , hyperplane complements , braid-groups

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journal article

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Citation

Ellis, Graham; Sköldberg, Emil (2010). The k(π,1) conjecture for a class of artin groups. Commentarii Mathematici Helvetici 85 (2), 409-415

Abstract

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' is an Eilenberg-Mac Lane space for every subgraph D' of D involving no infinity-edges.

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European Mathematical Publishing House

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