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On the growth rate in SL2(Fp)${\rm SL_2}(\mathbb {F}_p)$, the affine group and sum‐product type implications

  • Published:2022-05-09 Issue:3 Volume:68 Page:738-783
  • ISSN:0025-5793
  • Container-title:Mathematika
  • language:en
  • Short-container-title:Mathematika

Author:

Rudnev Misha12,Shkredov Ilya D.2345

Affiliation:

1. School of Mathematics University Walk Bristol UK

2. Institute of Physics, Mathematics and Information Technology Immanuel Kant Baltic Federal University Kaliningrad Russian Federation

3. Steklov Mathematical Institute ul. Gubkina, 8 Moscow Russia

4. IITP RAS Bolshoy Karetny per. 19 Moscow Russia

5. MIPT Institutskii per. 9 Dolgoprudnii Russia

Funder

Ministry of Science and Higher Education of the Russian Federation

Leverhulme Trust

Publisher

Wiley

Subject

General Mathematics

Reference45 articles.

1. Eigenvalues, geometric expanders, sorting in rounds, and ramsey theory

2. MORE ON THE SUM-PRODUCT PHENOMENON IN PRIME FIELDS AND ITS APPLICATIONS

3. A sum–product theorem in finite fields and applications;Bourgain J.;GAFA,2004

4. An explicit upper bound for the Helfgott delta in SL(2,p)

5. On rapid generation of SL2(Fq)${\rm SL_2}(\mathbb {F}_q)$;Chapman J.;Integers,2009

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