Mixed identities in linear groups -- effective version
Group Theory
2025-10-07 v1
Abstract
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 new (probabilistic) variant of the super approximation theorem.
Keywords
Cite
@article{arxiv.2510.03492,
title = {Mixed identities in linear groups -- effective version},
author = {Nir Avni and Tsachik Gelander},
journal= {arXiv preprint arXiv:2510.03492},
year = {2025}
}
Comments
20 pages