English

Jordan property for algebraic groups and automorphism groups of projective varieties in arbitrary characteristic

Algebraic Geometry 2021-02-24 v2 Group Theory

Abstract

We show an analogue of Jordan's theorem for algebraic groups defined over a field k\mathbb k of arbitrary characteristic. As a consequence, a Jordan-type property holds for the automorphism group of any projective variety over k\mathbb k.

Keywords

Cite

@article{arxiv.1804.10946,
  title  = {Jordan property for algebraic groups and automorphism groups of projective varieties in arbitrary characteristic},
  author = {Fei Hu},
  journal= {arXiv preprint arXiv:1804.10946},
  year   = {2021}
}

Comments

10 pages; to appear in Indiana Univ. Math. J