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A topological Tits alternative

Emmanuel Breuillard·Tsachik Gelander
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Abstract

Let k be a local field, and G a linear group over k. We prove that either G contains a relatively open solvable subgroup, or it contains a relatively dense free subgroup. This result has applications in dynamics, Riemannian foliations and profinite groups.

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Emmanuel Breuillard, Tsachik Gelander. 2004-03-02. A topological Tits alternative. https://arxiv.org/abs/math/0403043

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