Geodesic
Asymptotic dimension of discrete groups
A. Dranishnikov1 ; J. Smith2
1Department of Mathematics University of Florida P.O. 118105 358 Little Hall Gainesville, FL 32611-8105, U.S.A.
2Department of Mathematics University of Florida P.O. 118105 358 Little Hall Gainesville, FL 32611-8105, USA
Fundamenta Mathematicae, Tome 189 (2006) no. 1, pp. 27-34
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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.
DOI : 10.4064/fm189-1-2
Keywords: extend gromovs notion asymptotic dimension finitely generated groups discrete groups particular extend hurewicz type theorem proven b d general groups extension prove formula asymptotic dimension finitely generated solvable groups terms their hirsch length

A. Dranishnikov  1   ; J. Smith  2

1 Department of Mathematics University of Florida P.O. 118105 358 Little Hall Gainesville, FL 32611-8105, U.S.A.
2 Department of Mathematics University of Florida P.O. 118105 358 Little Hall Gainesville, FL 32611-8105, USA 
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A. Dranishnikov; J. Smith. Asymptotic dimension of discrete groups. Fundamenta Mathematicae, Tome 189 (2006) no. 1, pp. 27-34. doi: 10.4064/fm189-1-2

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