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Creators/Authors contains: "Breuillard, Emmanuel"

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  1. It was shown in [10] that that there exist strongly dense free subgroups in any semisimple algebraic group over a large enough field. These are nonabelian free subgroups all of whose subgroups are either cyclic or Zariski-dense. Here we show that the same is true for as long as the transcendence degree of the field is at least 1 in characteristic 0 and transcendence degree at least 2 in positive characteristic. 
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