Asymptotic dimension of discrete groups
Volume 189 / 2006
Fundamenta Mathematicae 189 (2006), 27-34
MSC: Primary 20F69.
DOI: 10.4064/fm189-1-2
Abstract
We extend Gromov's notion of asymptotic dimension of finitely generated groups to all discrete groups. In particular, we extend the Hurewicz type theorem proven in [B-D2] to general groups. Then we use this extension to prove a formula for the asymptotic dimension of finitely generated solvable groups in terms of their Hirsch length.
