Asymptotic Dimension of Discrete Groups

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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.
8 pages

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Geometric Topology, Group Theory, 20F69

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http://salesiana.dossiersoluciones.com/handle/123456789/110035

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0603055
 http://arxiv.org/abs/math/0603055
 Fund. Math., 189, (2006), 27-34

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arXiv