Two-dimensional Artin groups with CAT(0) dimension three

Details Two-dimensional Artin groups with CAT(0) dimension three Two-dimensional Artin groups with CAT(0) dimension three

2000-12-13

arxiv.org/abs/math/0012102v2

Mathematics

Group Theory

27 pages, 8 figures (eps)

Scientific paper

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.

Affiliated with

Also associated with

No associations

Rating

Two-dimensional Artin groups with CAT(0) dimension three does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Two-dimensional Artin groups with CAT(0) dimension three, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Two-dimensional Artin groups with CAT(0) dimension three will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-652762