English

On minimal epimorphic subgroups in simple algebraic groups of rank $2$

Group Theory 2023-06-30 v2

Abstract

The category of linear algebraic groups admits non-surjective epimorphisms. For simple algebraic groups of rank 22 defined over algebraically closed fields, we show that the minimal dimension of a closed epimorphic subgroup is 33.

Keywords

Cite

@article{arxiv.2303.17440,
  title  = {On minimal epimorphic subgroups in simple algebraic groups of rank $2$},
  author = {Iulian I. Simion and Donna M. Testerman},
  journal= {arXiv preprint arXiv:2303.17440},
  year   = {2023}
}