Birational automorphisms of Severi-Brauer surfaces

Constantin Shramov

Published 2019-07-09Version 1

We prove that a finite group acting by birational automorphisms of a non-trivial Severi-Brauer surface over a field of characteristic zero contains a normal abelian subgroup of index at most 3. Also, we find an explicit bound for orders of such finite groups in the case when the base field contains all roots of 1.