arXiv:math/0603055 Abstract

arXiv:math/0603055 [math.GT]Abstract References Reviews Resources

Asymptotic Dimension of Discrete Groups

Published 2006-03-02Version 1

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.

Comments: 8 pages

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

Categories: math.GT, math.GR

Subjects: 20F69

Keywords: asymptotic dimension, discrete groups, hurewicz type theorem proven, extend gromovs notion, general groups

Tags: journal article

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