- journal article metadata
European Mathematical Society Publishing House
2016-09-19 17:04:52
Commentarii Mathematici Helvetici
Comment. Math. Helv.
CMH
0010-2571
1420-8946
General
10.4171/CMH
http://www.ems-ph.org/doi/10.4171/CMH
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European Mathematical Society Publishing House
Zuerich, Switzerland
© Swiss Mathematical Society
85
2010
2
The K(π,1) conjecture for a class of Artin groups
Graham
Ellis
National University of Ireland, GALWAY, IRELAND
Emil
Sköldberg
National University of Ireland, GALWAY, IRELAND
Artin group, Eilenberg–Mac Lane space, cohomology groups
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.
Algebraic topology
Group theory and generalizations
General
409
415
10.4171/CMH/200
http://www.ems-ph.org/doi/10.4171/CMH/200