Boundedness for finite subgroups of linear algebraic groups

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.

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