Jordan property for algebraic groups and automorphism groups of projective varieties in arbitrary characteristic
Fei Hu
Abstract
We show an analogue of Jordan's theorem for algebraic groups defined over a field $\mathbb k$ of arbitrary characteristic. As a consequence, a Jordan-type property holds for the automorphism group of any projective variety over $\mathbb k$.
Topics & Concepts
MathematicsPure mathematicsProjective varietyAutomorphism groupAutomorphismProperty (philosophy)Algebraic numberProjective testInner automorphismAlgebraic varietyAlgebraic groupVariety (cybernetics)Field (mathematics)Discrete mathematicsMathematical analysisPhilosophyStatisticsEpistemologyAlgebraic Geometry and Number TheoryAdvanced Algebra and GeometryAdvanced Differential Equations and Dynamical Systems