Displaying similar documents to “One-Relator Groups and the Lower Central Series. II. Invariants of One-Relator Groups.”

Homology computations for complex braid groups

Filippo Callegaro, Ivan Marin (2014)

Journal of the European Mathematical Society

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Complex braid groups are the natural generalizations of braid groups associated to arbitrary (finite) complex reflection groups. We investigate several methods for computing the homology of these groups. In particular, we get the Poincaré polynomial with coefficients in a finite field for one large series of such groups, and compute the second integral cohomology group for all of them. As a consequence we get non-isomorphism results for these groups.