English

Boundedness for finite subgroups of linear algebraic groups

Algebraic Geometry 2021-06-30 v3

Abstract

We show the boundedness of finite subgroups in any anisotropic reductive algebraic group over a perfect field that contains all roots of 1. Also, we provide explicit bounds for orders of finite subgroups of automorphism groups of Severi-Brauer varieties and quadrics over such fields.

Keywords

Cite

@article{arxiv.2009.14485,
  title  = {Boundedness for finite subgroups of linear algebraic groups},
  author = {Constantin Shramov and Vadim Vologodsky},
  journal= {arXiv preprint arXiv:2009.14485},
  year   = {2021}
}

Comments

Minor changes, 18 pages. arXiv admin note: substantial text overlap with arXiv:1807.06477

R2 v1 2026-06-23T18:54:06.770Z