A topological Tits alternative

Details A topological Tits alternative A topological Tits alternative

2004-03-02

arxiv.org/abs/math/0403043v1

Mathematics

Group Theory

43 pages

Scientific paper

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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