On deformations of free groups in compact Lie groups

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.

References in corpus (1)

• Dense embeddings of surface groups

Cited by in corpus (1)

• A Zero-One Law for Random Subgroups of some Totally Disconnected Groups