English

Jordan property for Cremona group over a finite field

Algebraic Geometry 2023-02-23 v3

Abstract

We show that the Cremona group of rank 22 over a finite field is Jordan, and provide an upper bound for its Jordan constant which is sharp when the number of elements in the field is different from 22, 44, and 88.

Keywords

Cite

@article{arxiv.2111.13367,
  title  = {Jordan property for Cremona group over a finite field},
  author = {Yuri Prokhorov and Constantin Shramov},
  journal= {arXiv preprint arXiv:2111.13367},
  year   = {2023}
}

Comments

minor corrections, 14 pages