2 papers
math.GR2026
On dense free subgroups of Lie groups -- revisited
Emmanuel Breuillard, Tsachik Gelander
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 ch…
math.GR2025
Mixed identities in linear groups -- effective version
Nir Avni, Tsachik Gelander
We show that MIF (mixed-identity-free) linear groups are sharply MIF and linearly MIF. Along the way we provide a self contained proof of the strong approximation theorem, and a ne…