Toward super‐approximation in positive characteristic

DOI10.1112/jlms.12535arXiv1908.07014OpenAlexW4213246619MaRDI QIDQ6135268

Unnamed Author, Alireza Salehi Golsefidy

Publication date: 24 August 2023

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1908.07014

Mathematics Subject Classification ID

Discrete subgroups of Lie groups (22E40) Linear algebraic groups over global fields and their integers (20G30) Random walks on graphs (05C81)

Cites Work

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• Expansion in \(\text{SL}_d(\mathbb Z/q\mathbb Z)\), \(q\) arbitrary.
• Expansion, random walks and sieving in \(SL_2({\mathbb{F}_p}[t)\)]
• Product decompositions of quasirandom groups and a Jordan type theorem.
• Expansion in \(\mathrm{SL}_d(\mathcal O_K/I)\), \(I\) square-free.
• Approximate subgroups of linear groups.
• Expansion and random walks in \(\text{SL}_d(\mathbb{Z}/p^n\mathbb{Z})\). II.
• Affine linear sieve, expanders, and sum-product
• Expansion and random walks in \(\text{SL}_d(\mathbb{Z}/p^n\mathbb{Z})\). I.
• Strong approximation for Zariski-dense subgroups of semi-simple algebraic groups
• On subgroups of \(GL_ n(F_ p)\)
• Bounds for multiplicities of automorphic representations
• On the minimal degrees of projective representations of the finite Chevalley groups
• Algebraic geometry I: algebraic curves, algebraic manifolds and schemes. Transl. from the Russian by D. Coray and V. N. Shokurov
• Discrete groups, expanding graphs and invariant measures. Appendix by Jonathan D. Rogawski
• Strong approximation for Zariski dense subgroups over arbitrary global fields
• On uniform exponential growth for linear groups.
• Expansion in perfect groups.
• Super-approximation. II: The \(p\)-adic case and the case of bounded powers of square-free integers
• Sum-product phenomena: \(\mathfrak{P}\)-adic case
• Product set estimates for non-commutative groups
• Growth and generation in \(\text{SL}_2(\mathbb{Z}/p\mathbb{Z})\).
• Uniform expansion bounds for Cayley graphs of \(\text{SL}_2(\mathbb F_p)\).
• Spectral gap in the group of affine transformations over prime fields
• Growth in \(\mathrm{SL}_3(\mathbb Z/p\mathbb Z)\).
• Approximate subgroups and super-strong approximation
• Expander graphs in pure and applied mathematics
• Finite subgroups of algebraic groups
• Symmetric Random Walks on Groups
• Congruence Properties of Zariski-Dense Subgroups I
• Growth in finite simple groups of Lie type
• Expander graphs and their applications
• Quasirandom Groups
• Super-approximation, I: $\mathfrak {p}$-adic semisimple case
• Pseudo-reductive Groups
• Growth in groups: ideas and perspectives
• Elements of Information Theory
• Introduction to Lie Algebras and Representation Theory
• Number of Points of Varieties in Finite Fields
• Linear algebraic groups.
• Approximate homomorphisms. II: Group homomorphisms

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