Journal article
Asymptotic dimension of discrete groups
Fundamenta mathematicae, v 189(1), pp 27-34
01 Jan 2006
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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Details
- Title
- Asymptotic dimension of discrete groups
- Creators
- A Dranishnikov - University of FloridaJ Smith - University of Florida
- Publication Details
- Fundamenta mathematicae, v 189(1), pp 27-34
- Publisher
- Polish Acad Sciences
- Number of pages
- 8
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- [Retired Faculty]
- Web of Science ID
- WOS:000237410800002
- Scopus ID
- 2-s2.0-33645240765
- Other Identifier
- 991021879783604721
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- Web of Science research areas
- Mathematics