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arxiv: math/0309129 · v1 · submitted 2003-09-07 · 🧮 math.GR

Dense Random Finitely Generated Subgroups of Lie Groups

classification 🧮 math.GR
keywords densegeneratedchosencompactconnecteddimensionelementsexists
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Let G be a connected real Lie group of dimension n. Then there exists a relatively compact open neighbourhood W of e in G such that for n+1 randomly chosen elements g_0,..,g_n the generated subgroup will be dense in G with probability one.

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