| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4661179 | Topology and its Applications | 2006 | 11 Pages |
Abstract
We construct CAT(0) spaces on which various free-by-cyclic groups act. Let G be the free-by-cyclic group F(a,c1,…,cn,d)⋊φZ with φ determined by ϕ(a)=a, ϕ(cj)=cjaκ, and ϕ(d)=dw, where w is some word not containing d. Our main result is that if the exponent sum of cn in w is non-zero, then there is a CAT(0) metric space on which G acts properly discontinuously and cocompactly by isometries.
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology
