Asymptotic Dimension of Discrete Groups

2006/03/02 by A. Dranishnikov, J. Smith · 1 citation
Mathematics · #math.GR #math.GT #msc:20F69

paper · pdf

published as Fund. Math., 189, (2006), 27-34 · 8 pages

arxiv created 2006/03/02 · arxiv updated 2009/12/01

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.

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