Mathematics – Group Theory
Scientific paper
2011-11-13
Mathematics
Group Theory
19 pages, 10 figures
Scientific paper
The notions of nonpositive curved spaces and biautomatic groups are generalizations of the geometric properties of hyperbolic spaces and computational properties of their fundamental groups. Given the mutual origins of these conditions, one might conjecture that groups acting on nonpositive curved spaces are biautomatic. While the conventional wisdom is that counterexamples should exist, some groups acting on nonpositively curved spaces have been shown to be biautomatic. This article adds to the list of positive examples by proving that groups acting on CAT(0) simplicial 3-complexes are biautomatic.
No associations
LandOfFree
Group Actions on CAT(0) Simplicial Complexes 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 Group Actions on CAT(0) Simplicial Complexes, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Group Actions on CAT(0) Simplicial Complexes will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-216468