Two-dimensional Artin groups with CAT(0) dimension three
Group Theory
2007-05-23 v2
Abstract
We exhibit 3-generator Artin groups which have finite 2-dimensional Eilenberg-Mac Lane spaces, but which do not act properly discontinuously by semi-simple isometries on a 2-dimensional CAT(0) complex. We prove that infinitely many of these groups are the fundamental groups of compact, non-positively curved 3-complexes. These examples show that the geometric dimension of a CAT(0) group may be strictly less than its CAT(0) dimension.
Keywords
Cite
@article{arxiv.math/0012102,
title = {Two-dimensional Artin groups with CAT(0) dimension three},
author = {Noel Brady and John Crisp},
journal= {arXiv preprint arXiv:math/0012102},
year = {2007}
}
Comments
27 pages, 8 figures (eps)