On dense free subgroups of Lie groups

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We give a method for constructing dense and free subgroups in real Lie groups. In particular we show that any dense subgroup of a connected semisimple real Lie group G contains a free group on two generators which is still dense in G, and that any finitely generated dense subgroup in a connected non-solvable Lie group H contains a dense free subgroup of rank < 2 dim(H). This answer a question of Carriere and Ghys, and it gives an elementary proof of a conjecture of Connes and Sullivan on amenable actions, which was first proved by Zimmer.
21 pages, amscd

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Group Theory, 53C30, 53C35

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http://salesiana.dossiersoluciones.com/handle/123456789/64371

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0206236
 http://arxiv.org/abs/math/0206236

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arXiv