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Journal of the London Mathematical Society (1)

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THE $\eltwo$-COHOMOLOGY OF ARTIN GROUPS
M. W. DAVIS, I. J. LEARY
Journal:

Journal of the London Mathematical Society / Volume 68 / Issue 2 / October 2003

Published online by Cambridge University Press:

25 September 2003, pp. 493-510

Print publication:

October 2003
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For each Artin group, the reduced $\eltwo$-cohomology of (the universal cover of) its ‘Salvetti complex’ is computed. This is a CW-complex which is conjectured to be a model for the classifying space of the Artin group. In the many cases when this conjecture is known to hold the calculation describes the reduced $\eltwo$-cohomology of the Artin group.