Geodesic
Asymptotic dimension of discrete groups
A. Dranishnikov1 ; J. Smith2
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
Fundamenta Mathematicae, Tome 189 (2006) no. 1, pp. 27-34

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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 
@article{10_4064_fm189_1_2,
     author = {A. Dranishnikov and J. Smith},
     title = {Asymptotic dimension of discrete groups},
     journal = {Fundamenta Mathematicae},
     pages = {27--34},
     publisher = {mathdoc},
     volume = {189},
     number = {1},
     year = {2006},
     doi = {10.4064/fm189-1-2},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/fm189-1-2/}
}
TY  - JOUR
AU  - A. Dranishnikov
AU  - J. Smith
TI  - Asymptotic dimension of discrete groups
JO  - Fundamenta Mathematicae
PY  - 2006
SP  - 27
EP  - 34
VL  - 189
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/fm189-1-2/
DO  - 10.4064/fm189-1-2
LA  - en
ID  - 10_4064_fm189_1_2
ER  - 
%0 Journal Article
%A A. Dranishnikov
%A J. Smith
%T Asymptotic dimension of discrete groups
%J Fundamenta Mathematicae
%D 2006
%P 27-34
%V 189
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/fm189-1-2/
%R 10.4064/fm189-1-2
%G en
%F 10_4064_fm189_1_2
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

Cité par Sources :