N. Avni

activity

20062026

most citedRepresentation zeta functions of some compact p-adic analytic groups

9 citations · 27 across the 19 of their papers we have counts for

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Showing 2025 · math.GRShow all

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math.GR2025

Mixed identities in linear groups -- effective version

Nir Avni, Tsachik Gelander

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 ne…

math.GR2025

Bounded Generation for $S L_{n} (Λ)$

Nir Avni, Chen Meiri

Let $Λ$ be an order in a division algebra over a number field. We prove, under some conditions, that $S L_{3} (Λ)$ is boundedly generated by elementary matrices.

Mixed identities in linear groups -- effective version

Bounded Generation for SLn​(Λ)

Bounded Generation for $S L_{n} (Λ)$