Asymptotic Dimension of Discrete Groups

Details Asymptotic Dimension of Discrete Groups Asymptotic Dimension of Discrete Groups

2006-03-02

arxiv.org/abs/math/0603055v1

Fund. Math., 189, (2006), 27-34

Mathematics

Geometric Topology

8 pages

Scientific paper

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.

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