Abstract

Let A be an Artin group and denote by SR(A) the subgroup of A which is generated by the finite type (spherical) standard parabolic subgroups on at least three standard generators. In this work we show that if the K(π,1) Conjecture holds for SR(A) then it holds for A. The method of proof is by combinatorial curvature calculations in van Kampen diagrams.

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