Random subgroups of linear groups are free
Group Theory
2019-12-19 v1 Dynamical Systems
Probability
Abstract
We show that on an arbitrary finitely generated non virtually solvable linear group, any two independent random walks will eventually generate a free subgroup. In fact, this will hold for an exponential number of independent random walks.
Cite
@article{arxiv.1005.3445,
title = {Random subgroups of linear groups are free},
author = {Richard Aoun},
journal= {arXiv preprint arXiv:1005.3445},
year = {2019}
}
Comments
37 pages