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Showing 2004 · math.GRShow all
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math.GR2004
Subgroup growth of lattices in semisimple Lie groups
A. Lubotzky, N. Nikolov
We give very precise bounds for the congruence subgroup growth of arithmetic groups. This allows us to determine the subgroup growth of irreducible lattices of semisimple Lie group…
math.GR2004★ 4 cited
A topological Tits alternative
Emmanuel Breuillard, Tsachik Gelander
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 resu…