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arXiv · 2605.20568

On dense free subgroups of Lie groups -- revisited

Emmanuel Breuillard·Tsachik Gelander
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Abstract

We show that every dense subgroup of a connected Lie group G contains a dense subgroup generated by 2d elements, where d=dim(G). We also give a detailed proof for the quantitive characterization of a contracting projective transformation in terms of the ratio between the two leading terms in its Cartan decomposition.

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Emmanuel Breuillard, Tsachik Gelander. 2026-05-20. On dense free subgroups of Lie groups -- revisited. https://arxiv.org/abs/2605.20568

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