On dense free subgroups of Lie groups

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dc.creatorBreuillard, Emmanuel
dc.creatorGelander, Tsachik
dc.date2002-06-23
dc.date2002-12-05
dc.date.accessioned2026-07-07T04:49:18Z
dc.date.available2026-07-07T04:49:18Z
dc.descriptionWe 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.
dc.description21 pages, amscd
dc.identifierhttps://arxiv.org/abs/math/0206236
dc.identifierhttp://arxiv.org/abs/math/0206236
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/64371
dc.subjectGroup Theory
dc.subject53C30, 53C35
dc.titleOn dense free subgroups of Lie groups
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