English

On a conjecture of Marton

Number Theory 2023-12-13 v2 Combinatorics

Abstract

We prove a conjecture of K. Marton, widely known as the polynomial Freiman--Ruzsa conjecture, in characteristic 22. The argument extends to odd characteristic, with details to follow in a subsequent paper.

Keywords

Cite

@article{arxiv.2311.05762,
  title  = {On a conjecture of Marton},
  author = {W. T. Gowers and Ben Green and Freddie Manners and Terence Tao},
  journal= {arXiv preprint arXiv:2311.05762},
  year   = {2023}
}

Comments

33 pages, updated version now to be submitted for publication