Homology of Gaussian groups

Details Homology of Gaussian groups Homology of Gaussian groups

2001-11-21

arxiv.org/abs/math/0111231v1

Mathematics

Group Theory

Scientific paper

We describe new combinatorial methods for constructing an explicit free resolution of Z by ZG-modules when G is a group of fractions of a monoid where enough least common multiples exist (``locally Gaussian monoid''), and, therefore, for computing the homology of G. Our constructions apply in particular to all Artin groups of finite Coxeter type, so, as a corollary, they give new ways of computing the homology of these groups.

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