Asymptotic Dimension of Discrete Groups
Geometric Topology
2007-05-23 v1 Group Theory
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.
Cite
@article{arxiv.math/0603055,
title = {Asymptotic Dimension of Discrete Groups},
author = {A. Dranishnikov and J. Smith},
journal= {arXiv preprint arXiv:math/0603055},
year = {2007}
}
Comments
8 pages