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arXiv · 2510.03492

Mixed identities in linear groups -- effective version

Nir Avni·Tsachik Gelander
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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.

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Nir Avni, Tsachik Gelander. 2025-10-03. Mixed identities in linear groups -- effective version. https://arxiv.org/abs/2510.03492

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