Homology of Gaussian groups
Group Theory
2007-05-23 v1 K-Theory and Homology
Abstract
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.
Keywords
Cite
@article{arxiv.math/0111231,
title = {Homology of Gaussian groups},
author = {Patrick Dehornoy and Yves Lafont},
journal= {arXiv preprint arXiv:math/0111231},
year = {2007}
}