English

Minimal generation of finite simple groups of Lie type by regular unipotent elements

Group Theory 2025-11-18 v1

Abstract

We prove that every finite simple group of Lie type GG can be generated by three regular unipotent elements. In certain cases we show that two regular unipotents are sufficient to generate GG.

Keywords

Cite

@article{arxiv.2511.12683,
  title  = {Minimal generation of finite simple groups of Lie type by regular unipotent elements},
  author = {M. A. Pellegrini and A. E. Zalesski},
  journal= {arXiv preprint arXiv:2511.12683},
  year   = {2025}
}