A topological Tits alternative

• 成果类型: Article
• 署名作者: Breuillard, E.; Gelander, T.
• 刊物名称: ANNALS OF MATHEMATICS
• ISSN/ISSBN: 0003-486X
• DOI: 10.4007/annals.2007.166.427
• 发表日期: 2007
• 页码: 427-474
• 关键词: lie-groups; free subgroups; linear-groups; corput; van; foliations

摘要

Let k be a local field, and Gamma <= GL(n)(k) a linear group over k. We prove that 17 contains either a relatively open solvable subgroup or a relatively dense free subgroup. This result has applications in dynamics, Riemannian foliations and profinite groups.