On dense free subgroups of Lie groups -- revisited

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.

6 pages, 0 figures. This note supplements our 2002 paper arXiv:math/0206236