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

Voir la notice de l'article provenant de la source Annals of Mathematics website

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 
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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

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