The exact sequence in the homology of groups with integral coefficients modulo $q$ associated to two normal subgroups

C. Rodríguez-Fernández; E. G. Rodeja Fernández

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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.

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Displaying similar documents to “The exact sequence in the homology of groups with integral coefficients modulo q associated to two normal subgroups”

Displaying similar documents to “The exact sequence in the homology of groups with integral coefficients modulo $q$ associated to two normal subgroups”