A topological Tits alternative

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.

43 pages

Cited by in corpus (3)

• Dense embeddings of surface groups
• Uniform independence in linear groups
• Ergodicity and mixing of noncommuting epimorphisms