On the Gowers trick for classical simple groups

Francesco Fumagalli; Attila Maróti

On the Gowers trick for classical simple groups

Group Theory 2024-04-09 v1

Authors: Francesco Fumagalli , Attila Maróti

Abstract

If $A$ , $B$ , $C$ are subsets in a finite simple group of Lie type $G$ at least two of which are normal with $|A||B||C|$ relatively large, then we establish a stronger conclusion than $ABC = G$ . This is related to a theorem of Gowers and is a generalization of a theorem of Larsen, Shalev, Tiep and the second author and Pyber.

Keywords

finite group theory wreath product of groups conjectures and proofs

Cite

@article{arxiv.2404.04967,
  title  = {On the Gowers trick for classical simple groups},
  author = {Francesco Fumagalli and Attila Maróti},
  journal= {arXiv preprint arXiv:2404.04967},
  year   = {2024}
}

Comments

13 pages

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