English

On deformations of free groups in compact Lie groups

Group Theory 2016-02-05 v2

Abstract

We study some properties of the varieties of deformations of free groups in compact Lie groups. In particular we prove a conjecture of Margulis and Soifer about the density of non-virtually free points in such variety, and a conjecture of Goldman on the ergodicity of the action of Aut(Fn) on such variety when n>2.

Keywords

Cite

@article{arxiv.math/0611830,
  title  = {On deformations of free groups in compact Lie groups},
  author = {T. Gelander},
  journal= {arXiv preprint arXiv:math/0611830},
  year   = {2016}
}
R2 v1 2026-07-22T17:47:00.621Z