Mixed identities in linear groups -- effective version

Fuente: arXiv
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Autores principales: Avni, Nir, Gelander, Tsachik
Formato: Preprint
Publicado: 2025
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author Avni, Nir
Gelander, Tsachik
author_facet Avni, Nir
Gelander, Tsachik
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2510_03492
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Mixed identities in linear groups -- effective version
Avni, Nir
Gelander, Tsachik
Group Theory
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.
title Mixed identities in linear groups -- effective version
topic Group Theory
url https://arxiv.org/abs/2510.03492