Asymptotic dimension of discrete groups
A. Dranishnikov ; J. Smith
Fundamenta Mathematicae, Tome 189 (2006), p. 27-34 / Harvested from The Polish Digital Mathematics Library
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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.

Publié le : 2006-01-01
EUDML-ID : urn:eudml:doc:283232 
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     language = {en},
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A. Dranishnikov; J. Smith. Asymptotic dimension of discrete groups. Fundamenta Mathematicae, Tome 189 (2006) pp. 27-34. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm189-1-2/