%0 Journal Article
%T Homology of Gaussian groups
%A Patrick Dehornoy
%A Yves Lafont
%J Mathematics
%D 2001
%I arXiv
%X 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.
%U http://arxiv.org/abs/math/0111231v1