Geodesic
A topological Tits alternative
Emmanuel Breuillard1 ; Tsachik Gelander2
1Le centre de mathématiques Laurent Schwartz, Ecole Polytechnique, Palaiseau, France
2Department of Mathematics, The Hebrew University, 91904 Jerusalem, Israel
Annals of mathematics, Tome 166 (2007) no. 2, pp. 427-474
Cet article a éte moissonné depuis la source Annals of Mathematics website

Voir la notice de l'article

Let $k$ be a local field, and $\Gamma \leq \mathrm{GL}_{n}(k)$ a linear group over $k$. We prove that $\Gamma $ contains either a relatively open solvable subgroup or a relatively dense free subgroup. This result has applications in dynamics, Riemannian foliations and profinite groups.

DOI : 10.4007/annals.2007.166.427

Emmanuel Breuillard  1   ; Tsachik Gelander  2

1 Le centre de mathématiques Laurent Schwartz, Ecole Polytechnique, Palaiseau, France
2 Department of Mathematics, The Hebrew University, 91904 Jerusalem, Israel 
@article{10_4007_annals_2007_166_427,
     author = {Emmanuel Breuillard and Tsachik Gelander},
     title = {A topological {Tits} alternative},
     journal = {Annals of mathematics},
     pages = {427--474},
     year = {2007},
     volume = {166},
     number = {2},
     doi = {10.4007/annals.2007.166.427},
     mrnumber = {2373146},
     zbl = {1149.20039},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4007/annals.2007.166.427/}
}
TY  - JOUR
AU  - Emmanuel Breuillard
AU  - Tsachik Gelander
TI  - A topological Tits alternative
JO  - Annals of mathematics
PY  - 2007
SP  - 427
EP  - 474
VL  - 166
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.4007/annals.2007.166.427/
DO  - 10.4007/annals.2007.166.427
LA  - en
ID  - 10_4007_annals_2007_166_427
ER  - 
%0 Journal Article
%A Emmanuel Breuillard
%A Tsachik Gelander
%T A topological Tits alternative
%J Annals of mathematics
%D 2007
%P 427-474
%V 166
%N 2
%U http://geodesic.mathdoc.fr/articles/10.4007/annals.2007.166.427/
%R 10.4007/annals.2007.166.427
%G en
%F 10_4007_annals_2007_166_427
Emmanuel Breuillard; Tsachik Gelander. A topological Tits alternative. Annals of mathematics, Tome 166 (2007) no. 2, pp. 427-474. doi: 10.4007/annals.2007.166.427

Cité par Sources :