0. Introduction 1. Statements of results 2. Preliminaries 3. The trace ring 4. Affine fixed rings 5. Borho theory 6. The correspondence $\Phi : \operatorname {Spec} R \multimap \operatorname {Spec} R̂G$ 7. Lying over 8. Characterizations of linearly reductive groups through actions on affine PI-algebras 9. Actions by inner automorphisms
Bibliography
Includes bibliographical references (pages 103-105)